Least Common Multiple of 723/70, 252/4627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/70, 252/4627 quickly i.e. 8676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/70, 252/4627 is 8676.

LCM(723/70, 252/4627) = 8676

LCM of 723/70, 252/4627

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 723/70,252/4627

Given numbers are 723/70,252/4627

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 723,252

Least Common Multiple of Numerators i.e. LCM of 723,252 is 60732.

GCF of Denominators means GCF of 70,4627 as per the given fractions.

GCF of 70,4627 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,252

LCM of Fractions 723/70,252/4627 is 8676

3 723, 252
241, 84

∴ So the LCM of the given numbers is 3 x 241 x 84 = 60732

Least Common Multiple of 723,252 with GCF Formula

Least Common Multiple of 723,252 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 723,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,252) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(723,252) x common factors =3 x 1 = 3

LCM(723,252) = ( 723 × 252 ) / 3

LCM(723,252) = 182196 / 3

LCM(723,252) = 60732


Lets's calculate GCF of 70,4627

7 70, 4627
10, 661

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60732/7

Therefore the LCM of Fractions 723/70,252/4627 is 8676

Greatest Common Factor of 70,4627 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,4627 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 4627

List of positive integer factors of 4627 that divides 4627 without a remainder.

1,7,661,4627

Greatest Common Factor

We found the factors 70,4627 . The biggest common factor number is the GCF number.
So the greatest common factor 70,4627 is 7.


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 723/70, 252/4627

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 723/70, 252/4627?

Answer: LCM of Numerators as per given numbers 723/70, 252/4627 is

LCM of Numerators i.e. for 723,252 is 60732

GCF of denominators i.e. for 70,4627 is 7.

Thus, LCM of Fractions is 8676.Finally, LCM of Fractions for 723/70, 252/4627 is 8676.