Least Common Multiple of 501/602, 696/547, 907/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/602, 696/547, 907/672 quickly i.e. 105422424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/602, 696/547, 907/672 is 105422424.

LCM(501/602, 696/547, 907/672) = 105422424

LCM of 501/602, 696/547, 907/672

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 501/602,696/547,907/672

Given numbers are 501/602,696/547,907/672

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 501,696,907

Least Common Multiple of Numerators i.e. LCM of 501,696,907 is 105422424.

GCF of Denominators means GCF of 602,547,672 as per the given fractions.

GCF of 602,547,672 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,696,907

LCM of Fractions 501/602,696/547,907/672 is 105422424

3 501, 696, 907
167, 232, 907

∴ So the LCM of the given numbers is 3 x 167 x 232 x 907 = 105422424

Least Common Multiple of 501,696,907 with GCF Formula

Least Common Multiple of 501,696,907 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 501,696,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,696,907) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(501,696,907) x common factors =1 x 3 = 3

LCM(501,696,907) = ( 501 × 696 × 907 ) / 3

LCM(501,696,907) = 316267272 / 3

LCM(501,696,907) = 105422424


Lets's calculate GCF of 602,547,672

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105422424/1

Therefore the LCM of Fractions 501/602,696/547,907/672 is 105422424

Greatest Common Factor of 602,547,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,547,672 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 602,547,672 . The biggest common factor number is the GCF number.
So the greatest common factor 602,547,672 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 501/602, 696/547, 907/672

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 501/602, 696/547, 907/672?

Answer: LCM of Numerators as per given numbers 501/602, 696/547, 907/672 is

LCM of Numerators i.e. for 501,696,907 is 105422424

GCF of denominators i.e. for 602,547,672 is 1.

Thus, LCM of Fractions is 105422424.Finally, LCM of Fractions for 501/602, 696/547, 907/672 is 105422424.