Least Common Multiple of 10/752, 77/790, 387/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/752, 77/790, 387/402 quickly i.e. 148995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/752, 77/790, 387/402 is 148995.

LCM(10/752, 77/790, 387/402) = 148995

LCM of 10/752, 77/790, 387/402

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 10/752,77/790,387/402

Given numbers are 10/752,77/790,387/402

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 10,77,387

Least Common Multiple of Numerators i.e. LCM of 10,77,387 is 297990.

GCF of Denominators means GCF of 752,790,402 as per the given fractions.

GCF of 752,790,402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,77,387

LCM of Fractions 10/752,77/790,387/402 is 148995

Given numbers has no common factors except 1. So, there LCM is their product i.e 297990

Least Common Multiple of 10,77,387 with GCF Formula

Least Common Multiple of 10,77,387 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 10,77,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,77,387) = 1

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

GCF(10,77,387) x common factors =1 x 1 = 1

LCM(10,77,387) = ( 10 × 77 × 387 ) / 1

LCM(10,77,387) = 297990 / 1

LCM(10,77,387) = 297990


Lets's calculate GCF of 752,790,402

2 752, 790, 402
376, 395, 201

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297990/2

Therefore the LCM of Fractions 10/752,77/790,387/402 is 148995

Greatest Common Factor of 752,790,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,790,402 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 752,790,402 . The biggest common factor number is the GCF number.
So the greatest common factor 752,790,402 is 2.


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 10/752, 77/790, 387/402

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 10/752, 77/790, 387/402?

Answer: LCM of Numerators as per given numbers 10/752, 77/790, 387/402 is

LCM of Numerators i.e. for 10,77,387 is 297990

GCF of denominators i.e. for 752,790,402 is 2.

Thus, LCM of Fractions is 148995.Finally, LCM of Fractions for 10/752, 77/790, 387/402 is 148995.