Least Common Multiple of 497/52, 523/36, 977/94

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 497/52, 523/36, 977/94 quickly i.e. 253952587/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 497/52, 523/36, 977/94 is 253952587/2.

LCM(497/52, 523/36, 977/94) = 253952587/2

LCM of 497/52, 523/36, 977/94

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 497/52,523/36,977/94

Given numbers are 497/52,523/36,977/94

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 497,523,977

Least Common Multiple of Numerators i.e. LCM of 497,523,977 is 253952587.

GCF of Denominators means GCF of 52,36,94 as per the given fractions.

GCF of 52,36,94 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 497,523,977

LCM of Fractions 497/52,523/36,977/94 is 253952587/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 253952587

Least Common Multiple of 497,523,977 with GCF Formula

Least Common Multiple of 497,523,977 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 497,523,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,523,977) = 1

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

GCF(497,523,977) x common factors =1 x 1 = 1

LCM(497,523,977) = ( 497 × 523 × 977 ) / 1

LCM(497,523,977) = 253952587 / 1

LCM(497,523,977) = 253952587


Lets's calculate GCF of 52,36,94

2 52, 36, 94
26, 18, 47

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253952587/2

Therefore the LCM of Fractions 497/52,523/36,977/94 is 253952587/2

Greatest Common Factor of 52,36,94 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,36,94 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

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 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Greatest Common Factor

We found the factors 52,36,94 . The biggest common factor number is the GCF number.
So the greatest common factor 52,36,94 is 2.


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 497/52, 523/36, 977/94

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 497/52, 523/36, 977/94?

Answer: LCM of Numerators as per given numbers 497/52, 523/36, 977/94 is

LCM of Numerators i.e. for 497,523,977 is 253952587

GCF of denominators i.e. for 52,36,94 is 2.

Thus, LCM of Fractions is 253952587/2.Finally, LCM of Fractions for 497/52, 523/36, 977/94 is 253952587/2.