Least Common Multiple of 37/757, 41/913, 657/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/757, 41/913, 657/392 quickly i.e. 996669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/757, 41/913, 657/392 is 996669.

LCM(37/757, 41/913, 657/392) = 996669

LCM of 37/757, 41/913, 657/392

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 37/757,41/913,657/392

Given numbers are 37/757,41/913,657/392

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 37,41,657

Least Common Multiple of Numerators i.e. LCM of 37,41,657 is 996669.

GCF of Denominators means GCF of 757,913,392 as per the given fractions.

GCF of 757,913,392 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,41,657

LCM of Fractions 37/757,41/913,657/392 is 996669

Given numbers has no common factors except 1. So, there LCM is their product i.e 996669

Least Common Multiple of 37,41,657 with GCF Formula

Least Common Multiple of 37,41,657 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 37,41,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,41,657) = 1

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

GCF(37,41,657) x common factors =1 x 1 = 1

LCM(37,41,657) = ( 37 × 41 × 657 ) / 1

LCM(37,41,657) = 996669 / 1

LCM(37,41,657) = 996669


Lets's calculate GCF of 757,913,392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 996669/1

Therefore the LCM of Fractions 37/757,41/913,657/392 is 996669

Greatest Common Factor of 757,913,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,913,392 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 757,913,392 . The biggest common factor number is the GCF number.
So the greatest common factor 757,913,392 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/757, 41/913, 657/392

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 37/757, 41/913, 657/392?

Answer: LCM of Numerators as per given numbers 37/757, 41/913, 657/392 is

LCM of Numerators i.e. for 37,41,657 is 996669

GCF of denominators i.e. for 757,913,392 is 1.

Thus, LCM of Fractions is 996669.Finally, LCM of Fractions for 37/757, 41/913, 657/392 is 996669.