Least Common Multiple of 137/11, 814/5250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 137/11, 814/5250 quickly i.e. 111518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 137/11, 814/5250 is 111518.

LCM(137/11, 814/5250) = 111518

LCM of 137/11, 814/5250

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 137/11,814/5250

Given numbers are 137/11,814/5250

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 137,814

Least Common Multiple of Numerators i.e. LCM of 137,814 is 111518.

GCF of Denominators means GCF of 11,5250 as per the given fractions.

GCF of 11,5250 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 137,814

LCM of Fractions 137/11,814/5250 is 111518

Given numbers has no common factors except 1. So, there LCM is their product i.e 111518

Least Common Multiple of 137,814 with GCF Formula

Least Common Multiple of 137,814 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 137,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,814) = 1

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

GCF(137,814) x common factors =1 x 1 = 1

LCM(137,814) = ( 137 × 814 ) / 1

LCM(137,814) = 111518 / 1

LCM(137,814) = 111518


Lets's calculate GCF of 11,5250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111518/1

Therefore the LCM of Fractions 137/11,814/5250 is 111518

Greatest Common Factor of 11,5250 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,5250 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 5250

List of positive integer factors of 5250 that divides 5250 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250

Greatest Common Factor

We found the factors 11,5250 . The biggest common factor number is the GCF number.
So the greatest common factor 11,5250 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 137/11, 814/5250

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 137/11, 814/5250?

Answer: LCM of Numerators as per given numbers 137/11, 814/5250 is

LCM of Numerators i.e. for 137,814 is 111518

GCF of denominators i.e. for 11,5250 is 1.

Thus, LCM of Fractions is 111518.Finally, LCM of Fractions for 137/11, 814/5250 is 111518.