Least Common Multiple of 72/556, 506/492, 777/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/556, 506/492, 777/548 quickly i.e. 1179486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/556, 506/492, 777/548 is 1179486.

LCM(72/556, 506/492, 777/548) = 1179486

LCM of 72/556, 506/492, 777/548

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 72/556,506/492,777/548

Given numbers are 72/556,506/492,777/548

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 72,506,777

Least Common Multiple of Numerators i.e. LCM of 72,506,777 is 4717944.

GCF of Denominators means GCF of 556,492,548 as per the given fractions.

GCF of 556,492,548 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,506,777

LCM of Fractions 72/556,506/492,777/548 is 1179486

2 72, 506, 777
3 36, 253, 777
12, 253, 259

∴ So the LCM of the given numbers is 2 x 3 x 12 x 253 x 259 = 4717944

Least Common Multiple of 72,506,777 with GCF Formula

Least Common Multiple of 72,506,777 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 72,506,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,506,777) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,506,777) x common factors =1 x 6 = 6

LCM(72,506,777) = ( 72 × 506 × 777 ) / 6

LCM(72,506,777) = 28307664 / 6

LCM(72,506,777) = 4717944


Lets's calculate GCF of 556,492,548

2 556, 492, 548
2 278, 246, 274
139, 123, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4717944/4

Therefore the LCM of Fractions 72/556,506/492,777/548 is 1179486

Greatest Common Factor of 556,492,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,492,548 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 556,492,548 . The biggest common factor number is the GCF number.
So the greatest common factor 556,492,548 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 72/556, 506/492, 777/548

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 72/556, 506/492, 777/548?

Answer: LCM of Numerators as per given numbers 72/556, 506/492, 777/548 is

LCM of Numerators i.e. for 72,506,777 is 4717944

GCF of denominators i.e. for 556,492,548 is 4.

Thus, LCM of Fractions is 1179486.Finally, LCM of Fractions for 72/556, 506/492, 777/548 is 1179486.