Least Common Multiple of 80/141, 756/496, 527/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/141, 756/496, 527/552 quickly i.e. 7968240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/141, 756/496, 527/552 is 7968240.

LCM(80/141, 756/496, 527/552) = 7968240

LCM of 80/141, 756/496, 527/552

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 80/141,756/496,527/552

Given numbers are 80/141,756/496,527/552

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 80,756,527

Least Common Multiple of Numerators i.e. LCM of 80,756,527 is 7968240.

GCF of Denominators means GCF of 141,496,552 as per the given fractions.

GCF of 141,496,552 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,756,527

LCM of Fractions 80/141,756/496,527/552 is 7968240

2 80, 756, 527
2 40, 378, 527
20, 189, 527

∴ So the LCM of the given numbers is 2 x 2 x 20 x 189 x 527 = 7968240

Least Common Multiple of 80,756,527 with GCF Formula

Least Common Multiple of 80,756,527 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 80,756,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,756,527) = 1

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

GCF(80,756,527) x common factors =1 x 4 = 4

LCM(80,756,527) = ( 80 × 756 × 527 ) / 4

LCM(80,756,527) = 31872960 / 4

LCM(80,756,527) = 7968240


Lets's calculate GCF of 141,496,552

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7968240/1

Therefore the LCM of Fractions 80/141,756/496,527/552 is 7968240

Greatest Common Factor of 141,496,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,496,552 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 141,496,552 . The biggest common factor number is the GCF number.
So the greatest common factor 141,496,552 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 80/141, 756/496, 527/552

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 80/141, 756/496, 527/552?

Answer: LCM of Numerators as per given numbers 80/141, 756/496, 527/552 is

LCM of Numerators i.e. for 80,756,527 is 7968240

GCF of denominators i.e. for 141,496,552 is 1.

Thus, LCM of Fractions is 7968240.Finally, LCM of Fractions for 80/141, 756/496, 527/552 is 7968240.