Least Common Multiple of 56/669, 552/498, 272/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/669, 552/498, 272/647 quickly i.e. 131376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/669, 552/498, 272/647 is 131376.

LCM(56/669, 552/498, 272/647) = 131376

LCM of 56/669, 552/498, 272/647

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 56/669,552/498,272/647

Given numbers are 56/669,552/498,272/647

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 56,552,272

Least Common Multiple of Numerators i.e. LCM of 56,552,272 is 131376.

GCF of Denominators means GCF of 669,498,647 as per the given fractions.

GCF of 669,498,647 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,552,272

LCM of Fractions 56/669,552/498,272/647 is 131376

2 56, 552, 272
2 28, 276, 136
2 14, 138, 68
7, 69, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 69 x 34 = 131376

Least Common Multiple of 56,552,272 with GCF Formula

Least Common Multiple of 56,552,272 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 56,552,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,552,272) = 8

common factors(in case of two or more numbers have common factors) = 8

GCF(56,552,272) x common factors =8 x 8 = 64

LCM(56,552,272) = ( 56 × 552 × 272 ) / 64

LCM(56,552,272) = 8408064 / 64

LCM(56,552,272) = 131376


Lets's calculate GCF of 669,498,647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131376/1

Therefore the LCM of Fractions 56/669,552/498,272/647 is 131376

Greatest Common Factor of 669,498,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,498,647 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors 669,498,647 . The biggest common factor number is the GCF number.
So the greatest common factor 669,498,647 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 56/669, 552/498, 272/647

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 56/669, 552/498, 272/647?

Answer: LCM of Numerators as per given numbers 56/669, 552/498, 272/647 is

LCM of Numerators i.e. for 56,552,272 is 131376

GCF of denominators i.e. for 669,498,647 is 1.

Thus, LCM of Fractions is 131376.Finally, LCM of Fractions for 56/669, 552/498, 272/647 is 131376.