Find Least Common Multiple of 175, 182 and 350 by listing out the factors.
Answer
LCM( 175, 182, 350 ) = 4550
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 175 are: 175, 350, 525, 700, 875, 1050, 1225, 1400, 1575, 1750, 1925, 2100, 2275, 2450, 2625, 2800, 2975, 3150, 3325, 3500, 3675, 3850, 4025, 4200, 4375, 4550, 4725, . . .
The multipliers of 182 are: 182, 364, 546, 728, 910, 1092, 1274, 1456, 1638, 1820, 2002, 2184, 2366, 2548, 2730, 2912, 3094, 3276, 3458, 3640, 3822, 4004, 4186, 4368, 4550, 4732, . . .
The multipliers of 350 are: 350, 700, 1050, 1400, 1750, 2100, 2450, 2800, 3150, 3500, 3850, 4200, 4550, 4900, . . .
We can see that:
LCM( 175, 182, 350 ) = 4550
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.