Least Common Multiple of 726/560, 281/625, 628/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/560, 281/625, 628/236 quickly i.e. 64057884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/560, 281/625, 628/236 is 64057884.

LCM(726/560, 281/625, 628/236) = 64057884

LCM of 726/560, 281/625, 628/236

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 726/560,281/625,628/236

Given numbers are 726/560,281/625,628/236

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 726,281,628

Least Common Multiple of Numerators i.e. LCM of 726,281,628 is 64057884.

GCF of Denominators means GCF of 560,625,236 as per the given fractions.

GCF of 560,625,236 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,281,628

LCM of Fractions 726/560,281/625,628/236 is 64057884

2 726, 281, 628
363, 281, 314

∴ So the LCM of the given numbers is 2 x 363 x 281 x 314 = 64057884

Least Common Multiple of 726,281,628 with GCF Formula

Least Common Multiple of 726,281,628 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 726,281,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,281,628) = 1

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

GCF(726,281,628) x common factors =1 x 2 = 2

LCM(726,281,628) = ( 726 × 281 × 628 ) / 2

LCM(726,281,628) = 128115768 / 2

LCM(726,281,628) = 64057884


Lets's calculate GCF of 560,625,236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64057884/1

Therefore the LCM of Fractions 726/560,281/625,628/236 is 64057884

Greatest Common Factor of 560,625,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,625,236 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 560,625,236 . The biggest common factor number is the GCF number.
So the greatest common factor 560,625,236 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 726/560, 281/625, 628/236

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 726/560, 281/625, 628/236?

Answer: LCM of Numerators as per given numbers 726/560, 281/625, 628/236 is

LCM of Numerators i.e. for 726,281,628 is 64057884

GCF of denominators i.e. for 560,625,236 is 1.

Thus, LCM of Fractions is 64057884.Finally, LCM of Fractions for 726/560, 281/625, 628/236 is 64057884.