Least Common Multiple of 755/10, 647/92, 237/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 755/10, 647/92, 237/494 quickly i.e. 115770945/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 755/10, 647/92, 237/494 is 115770945/2.

LCM(755/10, 647/92, 237/494) = 115770945/2

LCM of 755/10, 647/92, 237/494

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 755/10,647/92,237/494

Given numbers are 755/10,647/92,237/494

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 755,647,237

Least Common Multiple of Numerators i.e. LCM of 755,647,237 is 115770945.

GCF of Denominators means GCF of 10,92,494 as per the given fractions.

GCF of 10,92,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 755,647,237

LCM of Fractions 755/10,647/92,237/494 is 115770945/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 115770945

Least Common Multiple of 755,647,237 with GCF Formula

Least Common Multiple of 755,647,237 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 755,647,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,647,237) = 1

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

GCF(755,647,237) x common factors =1 x 1 = 1

LCM(755,647,237) = ( 755 × 647 × 237 ) / 1

LCM(755,647,237) = 115770945 / 1

LCM(755,647,237) = 115770945


Lets's calculate GCF of 10,92,494

2 10, 92, 494
5, 46, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115770945/2

Therefore the LCM of Fractions 755/10,647/92,237/494 is 115770945/2

Greatest Common Factor of 10,92,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,92,494 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 10,92,494 . The biggest common factor number is the GCF number.
So the greatest common factor 10,92,494 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 755/10, 647/92, 237/494

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 755/10, 647/92, 237/494?

Answer: LCM of Numerators as per given numbers 755/10, 647/92, 237/494 is

LCM of Numerators i.e. for 755,647,237 is 115770945

GCF of denominators i.e. for 10,92,494 is 2.

Thus, LCM of Fractions is 115770945/2.Finally, LCM of Fractions for 755/10, 647/92, 237/494 is 115770945/2.