Least Common Multiple of 56/632, 99/732, 675/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/632, 99/732, 675/702 quickly i.e. 207900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/632, 99/732, 675/702 is 207900.

LCM(56/632, 99/732, 675/702) = 207900

LCM of 56/632, 99/732, 675/702

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 56/632,99/732,675/702

Given numbers are 56/632,99/732,675/702

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 56,99,675

Least Common Multiple of Numerators i.e. LCM of 56,99,675 is 415800.

GCF of Denominators means GCF of 632,732,702 as per the given fractions.

GCF of 632,732,702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,99,675

LCM of Fractions 56/632,99/732,675/702 is 207900

3 56, 99, 675
3 56, 33, 225
56, 11, 75

∴ So the LCM of the given numbers is 3 x 3 x 56 x 11 x 75 = 415800

Least Common Multiple of 56,99,675 with GCF Formula

Least Common Multiple of 56,99,675 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 56,99,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,99,675) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(56,99,675) x common factors =1 x 9 = 9

LCM(56,99,675) = ( 56 × 99 × 675 ) / 9

LCM(56,99,675) = 3742200 / 9

LCM(56,99,675) = 415800


Lets's calculate GCF of 632,732,702

2 632, 732, 702
316, 366, 351

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 415800/2

Therefore the LCM of Fractions 56/632,99/732,675/702 is 207900

Greatest Common Factor of 632,732,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,732,702 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 632,732,702 . The biggest common factor number is the GCF number.
So the greatest common factor 632,732,702 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 56/632, 99/732, 675/702

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 56/632, 99/732, 675/702?

Answer: LCM of Numerators as per given numbers 56/632, 99/732, 675/702 is

LCM of Numerators i.e. for 56,99,675 is 415800

GCF of denominators i.e. for 632,732,702 is 2.

Thus, LCM of Fractions is 207900.Finally, LCM of Fractions for 56/632, 99/732, 675/702 is 207900.