Least Common Multiple of 510/508, 3149/2100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/508, 3149/2100 quickly i.e. 1605990/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/508, 3149/2100 is 1605990/4.

LCM(510/508, 3149/2100) = 1605990/4

LCM of 510/508, 3149/2100

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 510/508,3149/2100

Given numbers are 510/508,3149/2100

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 510,3149

Least Common Multiple of Numerators i.e. LCM of 510,3149 is 1605990.

GCF of Denominators means GCF of 508,2100 as per the given fractions.

GCF of 508,2100 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,3149

LCM of Fractions 510/508,3149/2100 is 1605990/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1605990

Least Common Multiple of 510,3149 with GCF Formula

Least Common Multiple of 510,3149 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 510,3149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,3149) = 1

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

GCF(510,3149) x common factors =1 x 1 = 1

LCM(510,3149) = ( 510 × 3149 ) / 1

LCM(510,3149) = 1605990 / 1

LCM(510,3149) = 1605990


Lets's calculate GCF of 508,2100

2 508, 2100
2 254, 1050
127, 525

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1605990/4

Therefore the LCM of Fractions 510/508,3149/2100 is 1605990/4

Greatest Common Factor of 508,2100 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,2100 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 2100

List of positive integer factors of 2100 that divides 2100 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100

Greatest Common Factor

We found the factors 508,2100 . The biggest common factor number is the GCF number.
So the greatest common factor 508,2100 is 4.


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 510/508, 3149/2100

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 510/508, 3149/2100?

Answer: LCM of Numerators as per given numbers 510/508, 3149/2100 is

LCM of Numerators i.e. for 510,3149 is 1605990

GCF of denominators i.e. for 508,2100 is 4.

Thus, LCM of Fractions is 1605990/4.Finally, LCM of Fractions for 510/508, 3149/2100 is 1605990/4.