Least Common Multiple of 124/315, 768/741, 507/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 124/315, 768/741, 507/710 quickly i.e. 4023552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 124/315, 768/741, 507/710 is 4023552.

LCM(124/315, 768/741, 507/710) = 4023552

LCM of 124/315, 768/741, 507/710

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 124/315,768/741,507/710

Given numbers are 124/315,768/741,507/710

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 124,768,507

Least Common Multiple of Numerators i.e. LCM of 124,768,507 is 4023552.

GCF of Denominators means GCF of 315,741,710 as per the given fractions.

GCF of 315,741,710 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 124,768,507

LCM of Fractions 124/315,768/741,507/710 is 4023552

2 124, 768, 507
2 62, 384, 507
3 31, 192, 507
31, 64, 169

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 64 x 169 = 4023552

Least Common Multiple of 124,768,507 with GCF Formula

Least Common Multiple of 124,768,507 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 124,768,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,768,507) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(124,768,507) x common factors =1 x 12 = 12

LCM(124,768,507) = ( 124 × 768 × 507 ) / 12

LCM(124,768,507) = 48282624 / 12

LCM(124,768,507) = 4023552


Lets's calculate GCF of 315,741,710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4023552/1

Therefore the LCM of Fractions 124/315,768/741,507/710 is 4023552

Greatest Common Factor of 315,741,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,741,710 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 315,741,710 . The biggest common factor number is the GCF number.
So the greatest common factor 315,741,710 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 124/315, 768/741, 507/710

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 124/315, 768/741, 507/710?

Answer: LCM of Numerators as per given numbers 124/315, 768/741, 507/710 is

LCM of Numerators i.e. for 124,768,507 is 4023552

GCF of denominators i.e. for 315,741,710 is 1.

Thus, LCM of Fractions is 4023552.Finally, LCM of Fractions for 124/315, 768/741, 507/710 is 4023552.