Least Common Multiple of 72/420, 761/781, 554/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/420, 761/781, 554/716 quickly i.e. 15177384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/420, 761/781, 554/716 is 15177384.

LCM(72/420, 761/781, 554/716) = 15177384

LCM of 72/420, 761/781, 554/716

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 72/420,761/781,554/716

Given numbers are 72/420,761/781,554/716

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 72,761,554

Least Common Multiple of Numerators i.e. LCM of 72,761,554 is 15177384.

GCF of Denominators means GCF of 420,781,716 as per the given fractions.

GCF of 420,781,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,761,554

LCM of Fractions 72/420,761/781,554/716 is 15177384

2 72, 761, 554
36, 761, 277

∴ So the LCM of the given numbers is 2 x 36 x 761 x 277 = 15177384

Least Common Multiple of 72,761,554 with GCF Formula

Least Common Multiple of 72,761,554 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 72,761,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,761,554) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(72,761,554) x common factors =1 x 2 = 2

LCM(72,761,554) = ( 72 × 761 × 554 ) / 2

LCM(72,761,554) = 30354768 / 2

LCM(72,761,554) = 15177384


Lets's calculate GCF of 420,781,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15177384/1

Therefore the LCM of Fractions 72/420,761/781,554/716 is 15177384

Greatest Common Factor of 420,781,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,781,716 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 420,781,716 . The biggest common factor number is the GCF number.
So the greatest common factor 420,781,716 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 72/420, 761/781, 554/716

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 72/420, 761/781, 554/716?

Answer: LCM of Numerators as per given numbers 72/420, 761/781, 554/716 is

LCM of Numerators i.e. for 72,761,554 is 15177384

GCF of denominators i.e. for 420,781,716 is 1.

Thus, LCM of Fractions is 15177384.Finally, LCM of Fractions for 72/420, 761/781, 554/716 is 15177384.