Least Common Multiple of 3580/907, 6722/7504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3580/907, 6722/7504 quickly i.e. 12032380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3580/907, 6722/7504 is 12032380.

LCM(3580/907, 6722/7504) = 12032380

LCM of 3580/907, 6722/7504

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 3580/907,6722/7504

Given numbers are 3580/907,6722/7504

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 3580,6722

Least Common Multiple of Numerators i.e. LCM of 3580,6722 is 12032380.

GCF of Denominators means GCF of 907,7504 as per the given fractions.

GCF of 907,7504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3580,6722

LCM of Fractions 3580/907,6722/7504 is 12032380

2 3580, 6722
1790, 3361

∴ So the LCM of the given numbers is 2 x 1790 x 3361 = 12032380

Least Common Multiple of 3580,6722 with GCF Formula

Least Common Multiple of 3580,6722 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 3580,6722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3580,6722) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(3580,6722) x common factors =2 x 1 = 2

LCM(3580,6722) = ( 3580 × 6722 ) / 2

LCM(3580,6722) = 24064760 / 2

LCM(3580,6722) = 12032380


Lets's calculate GCF of 907,7504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12032380/1

Therefore the LCM of Fractions 3580/907,6722/7504 is 12032380

Greatest Common Factor of 907,7504 By Matching Biggest Common Factor Method

Greatest Common Factor of 907,7504 By Matching Biggest Common Factor Method

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 7504

List of positive integer factors of 7504 that divides 7504 without a remainder.

1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504

Greatest Common Factor

We found the factors 907,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 907,7504 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 3580/907, 6722/7504

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 3580/907, 6722/7504?

Answer: LCM of Numerators as per given numbers 3580/907, 6722/7504 is

LCM of Numerators i.e. for 3580,6722 is 12032380

GCF of denominators i.e. for 907,7504 is 1.

Thus, LCM of Fractions is 12032380.Finally, LCM of Fractions for 3580/907, 6722/7504 is 12032380.