Least Common Multiple of 48/76, 725/51, 690/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/76, 725/51, 690/715 quickly i.e. 800400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/76, 725/51, 690/715 is 800400.

LCM(48/76, 725/51, 690/715) = 800400

LCM of 48/76, 725/51, 690/715

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 48/76,725/51,690/715

Given numbers are 48/76,725/51,690/715

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 48,725,690

Least Common Multiple of Numerators i.e. LCM of 48,725,690 is 800400.

GCF of Denominators means GCF of 76,51,715 as per the given fractions.

GCF of 76,51,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,725,690

LCM of Fractions 48/76,725/51,690/715 is 800400

2 48, 725, 690
3 24, 725, 345
5 8, 725, 115
8, 145, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 145 x 23 = 800400

Least Common Multiple of 48,725,690 with GCF Formula

Least Common Multiple of 48,725,690 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 48,725,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,725,690) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(48,725,690) x common factors =1 x 30 = 30

LCM(48,725,690) = ( 48 × 725 × 690 ) / 30

LCM(48,725,690) = 24012000 / 30

LCM(48,725,690) = 800400


Lets's calculate GCF of 76,51,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 800400/1

Therefore the LCM of Fractions 48/76,725/51,690/715 is 800400

Greatest Common Factor of 76,51,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,51,715 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 76,51,715 . The biggest common factor number is the GCF number.
So the greatest common factor 76,51,715 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 48/76, 725/51, 690/715

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 48/76, 725/51, 690/715?

Answer: LCM of Numerators as per given numbers 48/76, 725/51, 690/715 is

LCM of Numerators i.e. for 48,725,690 is 800400

GCF of denominators i.e. for 76,51,715 is 1.

Thus, LCM of Fractions is 800400.Finally, LCM of Fractions for 48/76, 725/51, 690/715 is 800400.