Least Common Multiple of 51/83, 864/69, 725/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/83, 864/69, 725/151 quickly i.e. 10648800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/83, 864/69, 725/151 is 10648800.

LCM(51/83, 864/69, 725/151) = 10648800

LCM of 51/83, 864/69, 725/151

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 51/83,864/69,725/151

Given numbers are 51/83,864/69,725/151

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 51,864,725

Least Common Multiple of Numerators i.e. LCM of 51,864,725 is 10648800.

GCF of Denominators means GCF of 83,69,151 as per the given fractions.

GCF of 83,69,151 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,864,725

LCM of Fractions 51/83,864/69,725/151 is 10648800

3 51, 864, 725
17, 288, 725

∴ So the LCM of the given numbers is 3 x 17 x 288 x 725 = 10648800

Least Common Multiple of 51,864,725 with GCF Formula

Least Common Multiple of 51,864,725 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 51,864,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,864,725) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,864,725) x common factors =1 x 3 = 3

LCM(51,864,725) = ( 51 × 864 × 725 ) / 3

LCM(51,864,725) = 31946400 / 3

LCM(51,864,725) = 10648800


Lets's calculate GCF of 83,69,151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10648800/1

Therefore the LCM of Fractions 51/83,864/69,725/151 is 10648800

Greatest Common Factor of 83,69,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,69,151 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 83,69,151 . The biggest common factor number is the GCF number.
So the greatest common factor 83,69,151 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 51/83, 864/69, 725/151

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 51/83, 864/69, 725/151?

Answer: LCM of Numerators as per given numbers 51/83, 864/69, 725/151 is

LCM of Numerators i.e. for 51,864,725 is 10648800

GCF of denominators i.e. for 83,69,151 is 1.

Thus, LCM of Fractions is 10648800.Finally, LCM of Fractions for 51/83, 864/69, 725/151 is 10648800.