Least Common Multiple of 940/726, 5689/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 940/726, 5689/632 quickly i.e. 2673830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 940/726, 5689/632 is 2673830.

LCM(940/726, 5689/632) = 2673830

LCM of 940/726, 5689/632

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 940/726,5689/632

Given numbers are 940/726,5689/632

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 940,5689

Least Common Multiple of Numerators i.e. LCM of 940,5689 is 5347660.

GCF of Denominators means GCF of 726,632 as per the given fractions.

GCF of 726,632 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 940,5689

LCM of Fractions 940/726,5689/632 is 2673830

Given numbers has no common factors except 1. So, there LCM is their product i.e 5347660

Least Common Multiple of 940,5689 with GCF Formula

Least Common Multiple of 940,5689 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 940,5689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,5689) = 1

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

GCF(940,5689) x common factors =1 x 1 = 1

LCM(940,5689) = ( 940 × 5689 ) / 1

LCM(940,5689) = 5347660 / 1

LCM(940,5689) = 5347660


Lets's calculate GCF of 726,632

2 726, 632
363, 316

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5347660/2

Therefore the LCM of Fractions 940/726,5689/632 is 2673830

Greatest Common Factor of 726,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,632 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 632

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

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

Greatest Common Factor

We found the factors 726,632 . The biggest common factor number is the GCF number.
So the greatest common factor 726,632 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 940/726, 5689/632

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 940/726, 5689/632?

Answer: LCM of Numerators as per given numbers 940/726, 5689/632 is

LCM of Numerators i.e. for 940,5689 is 5347660

GCF of denominators i.e. for 726,632 is 2.

Thus, LCM of Fractions is 2673830.Finally, LCM of Fractions for 940/726, 5689/632 is 2673830.