Least Common Multiple of 75/678, 72/890, 389/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/678, 72/890, 389/537 quickly i.e. 700200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/678, 72/890, 389/537 is 700200.

LCM(75/678, 72/890, 389/537) = 700200

LCM of 75/678, 72/890, 389/537

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 75/678,72/890,389/537

Given numbers are 75/678,72/890,389/537

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 75,72,389

Least Common Multiple of Numerators i.e. LCM of 75,72,389 is 700200.

GCF of Denominators means GCF of 678,890,537 as per the given fractions.

GCF of 678,890,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,72,389

LCM of Fractions 75/678,72/890,389/537 is 700200

3 75, 72, 389
25, 24, 389

∴ So the LCM of the given numbers is 3 x 25 x 24 x 389 = 700200

Least Common Multiple of 75,72,389 with GCF Formula

Least Common Multiple of 75,72,389 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 75,72,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,72,389) = 1

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

GCF(75,72,389) x common factors =1 x 3 = 3

LCM(75,72,389) = ( 75 × 72 × 389 ) / 3

LCM(75,72,389) = 2100600 / 3

LCM(75,72,389) = 700200


Lets's calculate GCF of 678,890,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 700200/1

Therefore the LCM of Fractions 75/678,72/890,389/537 is 700200

Greatest Common Factor of 678,890,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,890,537 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 678,890,537 . The biggest common factor number is the GCF number.
So the greatest common factor 678,890,537 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 75/678, 72/890, 389/537

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 75/678, 72/890, 389/537?

Answer: LCM of Numerators as per given numbers 75/678, 72/890, 389/537 is

LCM of Numerators i.e. for 75,72,389 is 700200

GCF of denominators i.e. for 678,890,537 is 1.

Thus, LCM of Fractions is 700200.Finally, LCM of Fractions for 75/678, 72/890, 389/537 is 700200.