Find Least Common Multiple of 89, 91 and 96 using division method..

Answer

LCM( 89, 91, 96 ) = 777504

Explanation

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

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	89	91	96
	89	91	48

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

2	89	91	96
2	89	91	48
2	89	91	24
2	89	91	12
2	89	91	6
3	89	91	3
7	89	91	1
13	89	13	1
89	89	1	1
	1	1	1

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

LCM( 89, 91, 96 ) = 2 · 2 · 2 · 2 · 2 · 3 · 7 · 13 · 89 = 777504 .

This solution can be visualized using a Venn diagram.

The LCM is equal to the product of all the numbers on the diagram.

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	89	91	96
2	89	91	48
2	89	91	24
2	89	91	12
2	89	91	6
3	89	91	3
7	89	91	1
13	89	13	1
89	89	1	1
	1	1	1

2	89	91	96
2	89	91	48
2	89	91	24
2	89	91	12
2	89	91	6
3	89	91	3
7	89	91	1
13	89	13	1
89	89	1	1
	1	1	1

2	89	91	96
2	89	91	48
2	89	91	24
2	89	91	12
2	89	91	6
3	89	91	3
7	89	91	1
13	89	13	1
89	89	1	1
	1	1	1