Least Common Multiple of 20/575, 772/965, 138/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/575, 772/965, 138/528 quickly i.e. 266340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/575, 772/965, 138/528 is 266340.

LCM(20/575, 772/965, 138/528) = 266340

LCM of 20/575, 772/965, 138/528

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 20/575,772/965,138/528

Given numbers are 20/575,772/965,138/528

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 20,772,138

Least Common Multiple of Numerators i.e. LCM of 20,772,138 is 266340.

GCF of Denominators means GCF of 575,965,528 as per the given fractions.

GCF of 575,965,528 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,772,138

LCM of Fractions 20/575,772/965,138/528 is 266340

2 20, 772, 138
2 10, 386, 69
5, 193, 69

∴ So the LCM of the given numbers is 2 x 2 x 5 x 193 x 69 = 266340

Least Common Multiple of 20,772,138 with GCF Formula

Least Common Multiple of 20,772,138 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 20,772,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,772,138) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(20,772,138) x common factors =2 x 4 = 8

LCM(20,772,138) = ( 20 × 772 × 138 ) / 8

LCM(20,772,138) = 2130720 / 8

LCM(20,772,138) = 266340


Lets's calculate GCF of 575,965,528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266340/1

Therefore the LCM of Fractions 20/575,772/965,138/528 is 266340

Greatest Common Factor of 575,965,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,965,528 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 575,965,528 . The biggest common factor number is the GCF number.
So the greatest common factor 575,965,528 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 20/575, 772/965, 138/528

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 20/575, 772/965, 138/528?

Answer: LCM of Numerators as per given numbers 20/575, 772/965, 138/528 is

LCM of Numerators i.e. for 20,772,138 is 266340

GCF of denominators i.e. for 575,965,528 is 1.

Thus, LCM of Fractions is 266340.Finally, LCM of Fractions for 20/575, 772/965, 138/528 is 266340.