Least Common Multiple of 525/767, 371/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 525/767, 371/472 quickly i.e. 27825/59 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 525/767, 371/472 is 27825/59.

LCM(525/767, 371/472) = 27825/59

LCM of 525/767, 371/472

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 525/767,371/472

Given numbers are 525/767,371/472

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 525,371

Least Common Multiple of Numerators i.e. LCM of 525,371 is 27825.

GCF of Denominators means GCF of 767,472 as per the given fractions.

GCF of 767,472 is 59 as it is the largest common factor for these numbers.

Lets's calculate LCM of 525,371

LCM of Fractions 525/767,371/472 is 27825/59

7 525, 371
75, 53

∴ So the LCM of the given numbers is 7 x 75 x 53 = 27825

Least Common Multiple of 525,371 with GCF Formula

Least Common Multiple of 525,371 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 525,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,371) = 7

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

GCF(525,371) x common factors =7 x 1 = 7

LCM(525,371) = ( 525 × 371 ) / 7

LCM(525,371) = 194775 / 7

LCM(525,371) = 27825


Lets's calculate GCF of 767,472

59 767, 472
13, 8

∴ So the GCF of the given numbers is 59 = 59

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27825/59

Therefore the LCM of Fractions 525/767,371/472 is 27825/59

Greatest Common Factor of 767,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,472 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 767,472 . The biggest common factor number is the GCF number.
So the greatest common factor 767,472 is 59.


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 525/767, 371/472

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 525/767, 371/472?

Answer: LCM of Numerators as per given numbers 525/767, 371/472 is

LCM of Numerators i.e. for 525,371 is 27825

GCF of denominators i.e. for 767,472 is 59.

Thus, LCM of Fractions is 27825/59.Finally, LCM of Fractions for 525/767, 371/472 is 27825/59.