Least Common Multiple of 510/470, 2371/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/470, 2371/100 quickly i.e. 120921 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/470, 2371/100 is 120921.

LCM(510/470, 2371/100) = 120921

LCM of 510/470, 2371/100

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 510/470,2371/100

Given numbers are 510/470,2371/100

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 510,2371

Least Common Multiple of Numerators i.e. LCM of 510,2371 is 1209210.

GCF of Denominators means GCF of 470,100 as per the given fractions.

GCF of 470,100 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,2371

LCM of Fractions 510/470,2371/100 is 120921

Given numbers has no common factors except 1. So, there LCM is their product i.e 1209210

Least Common Multiple of 510,2371 with GCF Formula

Least Common Multiple of 510,2371 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 510,2371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,2371) = 1

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

GCF(510,2371) x common factors =1 x 1 = 1

LCM(510,2371) = ( 510 × 2371 ) / 1

LCM(510,2371) = 1209210 / 1

LCM(510,2371) = 1209210


Lets's calculate GCF of 470,100

2 470, 100
5 235, 50
47, 10

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1209210/10

Therefore the LCM of Fractions 510/470,2371/100 is 120921

Greatest Common Factor of 470,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,100 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 470,100 . The biggest common factor number is the GCF number.
So the greatest common factor 470,100 is 10.


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 510/470, 2371/100

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 510/470, 2371/100?

Answer: LCM of Numerators as per given numbers 510/470, 2371/100 is

LCM of Numerators i.e. for 510,2371 is 1209210

GCF of denominators i.e. for 470,100 is 10.

Thus, LCM of Fractions is 120921.Finally, LCM of Fractions for 510/470, 2371/100 is 120921.