Find Least Common Multiple of 460, 384, 260 and 840 using division method..

Answer

LCM( 460, 384, 260, 840 ) = 4018560

Explanation

Step 1 : Write the given numbers in a horizontal line.

460

384

260

840

Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 2.

(if any number is not divisible by 2, write it down unchanged)

2	460	384	260	840
	230	192	130	420

Step 3 : Continue dividing by prime numbers till we get 1 in all columns.

2	460	384	260	840
2	230	192	130	420
2	115	96	65	210
2	115	48	65	105
2	115	24	65	105
2	115	12	65	105
2	115	6	65	105
3	115	3	65	105
5	115	1	65	35
7	23	1	13	7
13	23	1	13	1
23	23	1	1	1
	1	1	1	1

Step 4 : Multiply numbers in first column to get LCM.

LCM( 460, 384, 260, 840 ) = 2 · 2 · 2 · 2 · 2 · 2 · 2 · 3 · 5 · 7 · 13 · 23 = 4018560 .

This page was created using

LCM Calculator

About the Author

Welcome to MathPortal. This website's owner is mathematician Miloš Petrović. I designed this website and wrote all the calculators, lessons, and formulas.

If you want to contact me, probably have some questions, write me using the contact form or email me on [email protected].

Send Me A Comment

Main Navigation

Online Math Calculators

2	460	384	260	840
2	230	192	130	420
2	115	96	65	210
2	115	48	65	105
2	115	24	65	105
2	115	12	65	105
2	115	6	65	105
3	115	3	65	105
5	115	1	65	35
7	23	1	13	7
13	23	1	13	1
23	23	1	1	1
	1	1	1	1

2	460	384	260	840
2	230	192	130	420
2	115	96	65	210
2	115	48	65	105
2	115	24	65	105
2	115	12	65	105
2	115	6	65	105
3	115	3	65	105
5	115	1	65	35
7	23	1	13	7
13	23	1	13	1
23	23	1	1	1
	1	1	1	1

2	460	384	260	840
2	230	192	130	420
2	115	96	65	210
2	115	48	65	105
2	115	24	65	105
2	115	12	65	105
2	115	6	65	105
3	115	3	65	105
5	115	1	65	35
7	23	1	13	7
13	23	1	13	1
23	23	1	1	1
	1	1	1	1