Least Common Multiple of 311/18, 137/49, 250/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/18, 137/49, 250/419 quickly i.e. 10651750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/18, 137/49, 250/419 is 10651750.

LCM(311/18, 137/49, 250/419) = 10651750

LCM of 311/18, 137/49, 250/419

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 311/18,137/49,250/419

Given numbers are 311/18,137/49,250/419

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 311,137,250

Least Common Multiple of Numerators i.e. LCM of 311,137,250 is 10651750.

GCF of Denominators means GCF of 18,49,419 as per the given fractions.

GCF of 18,49,419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,137,250

LCM of Fractions 311/18,137/49,250/419 is 10651750

Given numbers has no common factors except 1. So, there LCM is their product i.e 10651750

Least Common Multiple of 311,137,250 with GCF Formula

Least Common Multiple of 311,137,250 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 311,137,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,137,250) = 1

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

GCF(311,137,250) x common factors =1 x 1 = 1

LCM(311,137,250) = ( 311 × 137 × 250 ) / 1

LCM(311,137,250) = 10651750 / 1

LCM(311,137,250) = 10651750


Lets's calculate GCF of 18,49,419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10651750/1

Therefore the LCM of Fractions 311/18,137/49,250/419 is 10651750

Greatest Common Factor of 18,49,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,49,419 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 18,49,419 . The biggest common factor number is the GCF number.
So the greatest common factor 18,49,419 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 311/18, 137/49, 250/419

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 311/18, 137/49, 250/419?

Answer: LCM of Numerators as per given numbers 311/18, 137/49, 250/419 is

LCM of Numerators i.e. for 311,137,250 is 10651750

GCF of denominators i.e. for 18,49,419 is 1.

Thus, LCM of Fractions is 10651750.Finally, LCM of Fractions for 311/18, 137/49, 250/419 is 10651750.