Least Common Multiple of 643/820, 378/484, 527/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 643/820, 378/484, 527/428 quickly i.e. 128089458/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 643/820, 378/484, 527/428 is 128089458/4.

LCM(643/820, 378/484, 527/428) = 128089458/4

LCM of 643/820, 378/484, 527/428

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 643/820,378/484,527/428

Given numbers are 643/820,378/484,527/428

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 643,378,527

Least Common Multiple of Numerators i.e. LCM of 643,378,527 is 128089458.

GCF of Denominators means GCF of 820,484,428 as per the given fractions.

GCF of 820,484,428 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 643,378,527

LCM of Fractions 643/820,378/484,527/428 is 128089458/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 128089458

Least Common Multiple of 643,378,527 with GCF Formula

Least Common Multiple of 643,378,527 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 643,378,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,378,527) = 1

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

GCF(643,378,527) x common factors =1 x 1 = 1

LCM(643,378,527) = ( 643 × 378 × 527 ) / 1

LCM(643,378,527) = 128089458 / 1

LCM(643,378,527) = 128089458


Lets's calculate GCF of 820,484,428

2 820, 484, 428
2 410, 242, 214
205, 121, 107

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128089458/4

Therefore the LCM of Fractions 643/820,378/484,527/428 is 128089458/4

Greatest Common Factor of 820,484,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,484,428 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 820,484,428 . The biggest common factor number is the GCF number.
So the greatest common factor 820,484,428 is 4.


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 643/820, 378/484, 527/428

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 643/820, 378/484, 527/428?

Answer: LCM of Numerators as per given numbers 643/820, 378/484, 527/428 is

LCM of Numerators i.e. for 643,378,527 is 128089458

GCF of denominators i.e. for 820,484,428 is 4.

Thus, LCM of Fractions is 128089458/4.Finally, LCM of Fractions for 643/820, 378/484, 527/428 is 128089458/4.