Least Common Multiple of 371/782, 370/541, 978/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 371/782, 370/541, 978/450 quickly i.e. 67125030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/782, 370/541, 978/450 is 67125030.

LCM(371/782, 370/541, 978/450) = 67125030

LCM of 371/782, 370/541, 978/450

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 371/782,370/541,978/450

Given numbers are 371/782,370/541,978/450

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 371,370,978

Least Common Multiple of Numerators i.e. LCM of 371,370,978 is 67125030.

GCF of Denominators means GCF of 782,541,450 as per the given fractions.

GCF of 782,541,450 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,370,978

LCM of Fractions 371/782,370/541,978/450 is 67125030

2 371, 370, 978
371, 185, 489

∴ So the LCM of the given numbers is 2 x 371 x 185 x 489 = 67125030

Least Common Multiple of 371,370,978 with GCF Formula

Least Common Multiple of 371,370,978 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 371,370,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,370,978) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(371,370,978) x common factors =1 x 2 = 2

LCM(371,370,978) = ( 371 × 370 × 978 ) / 2

LCM(371,370,978) = 134250060 / 2

LCM(371,370,978) = 67125030


Lets's calculate GCF of 782,541,450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67125030/1

Therefore the LCM of Fractions 371/782,370/541,978/450 is 67125030

Greatest Common Factor of 782,541,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,541,450 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 782,541,450 . The biggest common factor number is the GCF number.
So the greatest common factor 782,541,450 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 371/782, 370/541, 978/450

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 371/782, 370/541, 978/450?

Answer: LCM of Numerators as per given numbers 371/782, 370/541, 978/450 is

LCM of Numerators i.e. for 371,370,978 is 67125030

GCF of denominators i.e. for 782,541,450 is 1.

Thus, LCM of Fractions is 67125030.Finally, LCM of Fractions for 371/782, 370/541, 978/450 is 67125030.