Least Common Multiple of 58/150, 7371/3980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/150, 7371/3980 quickly i.e. 427518/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/150, 7371/3980 is 427518/10.

LCM(58/150, 7371/3980) = 427518/10

LCM of 58/150, 7371/3980

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 58/150,7371/3980

Given numbers are 58/150,7371/3980

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 58,7371

Least Common Multiple of Numerators i.e. LCM of 58,7371 is 427518.

GCF of Denominators means GCF of 150,3980 as per the given fractions.

GCF of 150,3980 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,7371

LCM of Fractions 58/150,7371/3980 is 427518/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 427518

Least Common Multiple of 58,7371 with GCF Formula

Least Common Multiple of 58,7371 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 58,7371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,7371) = 1

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

GCF(58,7371) x common factors =1 x 1 = 1

LCM(58,7371) = ( 58 × 7371 ) / 1

LCM(58,7371) = 427518 / 1

LCM(58,7371) = 427518


Lets's calculate GCF of 150,3980

2 150, 3980
5 75, 1990
15, 398

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427518/10

Therefore the LCM of Fractions 58/150,7371/3980 is 427518/10

Greatest Common Factor of 150,3980 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,3980 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 3980

List of positive integer factors of 3980 that divides 3980 without a remainder.

1,2,4,5,10,20,199,398,796,995,1990,3980

Greatest Common Factor

We found the factors 150,3980 . The biggest common factor number is the GCF number.
So the greatest common factor 150,3980 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/150, 7371/3980

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 58/150, 7371/3980?

Answer: LCM of Numerators as per given numbers 58/150, 7371/3980 is

LCM of Numerators i.e. for 58,7371 is 427518

GCF of denominators i.e. for 150,3980 is 10.

Thus, LCM of Fractions is 427518/10.Finally, LCM of Fractions for 58/150, 7371/3980 is 427518/10.