Least Common Multiple of 980/54, 750/1578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/54, 750/1578 quickly i.e. 12250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/54, 750/1578 is 12250.

LCM(980/54, 750/1578) = 12250

LCM of 980/54, 750/1578

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 980/54,750/1578

Given numbers are 980/54,750/1578

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 980,750

Least Common Multiple of Numerators i.e. LCM of 980,750 is 73500.

GCF of Denominators means GCF of 54,1578 as per the given fractions.

GCF of 54,1578 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,750

LCM of Fractions 980/54,750/1578 is 12250

2 980, 750
5 490, 375
98, 75

∴ So the LCM of the given numbers is 2 x 5 x 98 x 75 = 73500

Least Common Multiple of 980,750 with GCF Formula

Least Common Multiple of 980,750 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 980,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,750) = 10

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

GCF(980,750) x common factors =10 x 1 = 10

LCM(980,750) = ( 980 × 750 ) / 10

LCM(980,750) = 735000 / 10

LCM(980,750) = 73500


Lets's calculate GCF of 54,1578

2 54, 1578
3 27, 789
9, 263

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73500/6

Therefore the LCM of Fractions 980/54,750/1578 is 12250

Greatest Common Factor of 54,1578 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,1578 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 1578

List of positive integer factors of 1578 that divides 1578 without a remainder.

1,2,3,6,263,526,789,1578

Greatest Common Factor

We found the factors 54,1578 . The biggest common factor number is the GCF number.
So the greatest common factor 54,1578 is 6.


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 980/54, 750/1578

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 980/54, 750/1578?

Answer: LCM of Numerators as per given numbers 980/54, 750/1578 is

LCM of Numerators i.e. for 980,750 is 73500

GCF of denominators i.e. for 54,1578 is 6.

Thus, LCM of Fractions is 12250.Finally, LCM of Fractions for 980/54, 750/1578 is 12250.