Least Common Multiple of 713/37, 661/36, 557/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 713/37, 661/36, 557/928 quickly i.e. 262510201 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 713/37, 661/36, 557/928 is 262510201.

LCM(713/37, 661/36, 557/928) = 262510201

LCM of 713/37, 661/36, 557/928

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 713/37,661/36,557/928

Given numbers are 713/37,661/36,557/928

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 713,661,557

Least Common Multiple of Numerators i.e. LCM of 713,661,557 is 262510201.

GCF of Denominators means GCF of 37,36,928 as per the given fractions.

GCF of 37,36,928 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 713,661,557

LCM of Fractions 713/37,661/36,557/928 is 262510201

Given numbers has no common factors except 1. So, there LCM is their product i.e 262510201

Least Common Multiple of 713,661,557 with GCF Formula

Least Common Multiple of 713,661,557 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 713,661,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,661,557) = 1

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

GCF(713,661,557) x common factors =1 x 1 = 1

LCM(713,661,557) = ( 713 × 661 × 557 ) / 1

LCM(713,661,557) = 262510201 / 1

LCM(713,661,557) = 262510201


Lets's calculate GCF of 37,36,928

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262510201/1

Therefore the LCM of Fractions 713/37,661/36,557/928 is 262510201

Greatest Common Factor of 37,36,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,36,928 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 37,36,928 . The biggest common factor number is the GCF number.
So the greatest common factor 37,36,928 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 713/37, 661/36, 557/928

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 713/37, 661/36, 557/928?

Answer: LCM of Numerators as per given numbers 713/37, 661/36, 557/928 is

LCM of Numerators i.e. for 713,661,557 is 262510201

GCF of denominators i.e. for 37,36,928 is 1.

Thus, LCM of Fractions is 262510201.Finally, LCM of Fractions for 713/37, 661/36, 557/928 is 262510201.