Least Common Multiple of 528/760, 877/526, 435/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/760, 877/526, 435/812 quickly i.e. 33571560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/760, 877/526, 435/812 is 33571560.

LCM(528/760, 877/526, 435/812) = 33571560

LCM of 528/760, 877/526, 435/812

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 528/760,877/526,435/812

Given numbers are 528/760,877/526,435/812

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 528,877,435

Least Common Multiple of Numerators i.e. LCM of 528,877,435 is 67143120.

GCF of Denominators means GCF of 760,526,812 as per the given fractions.

GCF of 760,526,812 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,877,435

LCM of Fractions 528/760,877/526,435/812 is 33571560

3 528, 877, 435
176, 877, 145

∴ So the LCM of the given numbers is 3 x 176 x 877 x 145 = 67143120

Least Common Multiple of 528,877,435 with GCF Formula

Least Common Multiple of 528,877,435 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 528,877,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,877,435) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(528,877,435) x common factors =1 x 3 = 3

LCM(528,877,435) = ( 528 × 877 × 435 ) / 3

LCM(528,877,435) = 201429360 / 3

LCM(528,877,435) = 67143120


Lets's calculate GCF of 760,526,812

2 760, 526, 812
380, 263, 406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67143120/2

Therefore the LCM of Fractions 528/760,877/526,435/812 is 33571560

Greatest Common Factor of 760,526,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,526,812 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 760,526,812 . The biggest common factor number is the GCF number.
So the greatest common factor 760,526,812 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 528/760, 877/526, 435/812

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 528/760, 877/526, 435/812?

Answer: LCM of Numerators as per given numbers 528/760, 877/526, 435/812 is

LCM of Numerators i.e. for 528,877,435 is 67143120

GCF of denominators i.e. for 760,526,812 is 2.

Thus, LCM of Fractions is 33571560.Finally, LCM of Fractions for 528/760, 877/526, 435/812 is 33571560.