Least Common Multiple of 311/200, 126/737, 266/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/200, 126/737, 266/531 quickly i.e. 744534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/200, 126/737, 266/531 is 744534.

LCM(311/200, 126/737, 266/531) = 744534

LCM of 311/200, 126/737, 266/531

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 311/200,126/737,266/531

Given numbers are 311/200,126/737,266/531

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 311,126,266

Least Common Multiple of Numerators i.e. LCM of 311,126,266 is 744534.

GCF of Denominators means GCF of 200,737,531 as per the given fractions.

GCF of 200,737,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,126,266

LCM of Fractions 311/200,126/737,266/531 is 744534

2 311, 126, 266
7 311, 63, 133
311, 9, 19

∴ So the LCM of the given numbers is 2 x 7 x 311 x 9 x 19 = 744534

Least Common Multiple of 311,126,266 with GCF Formula

Least Common Multiple of 311,126,266 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 311,126,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,126,266) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(311,126,266) x common factors =1 x 14 = 14

LCM(311,126,266) = ( 311 × 126 × 266 ) / 14

LCM(311,126,266) = 10423476 / 14

LCM(311,126,266) = 744534


Lets's calculate GCF of 200,737,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 744534/1

Therefore the LCM of Fractions 311/200,126/737,266/531 is 744534

Greatest Common Factor of 200,737,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,737,531 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 200,737,531 . The biggest common factor number is the GCF number.
So the greatest common factor 200,737,531 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 311/200, 126/737, 266/531

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 311/200, 126/737, 266/531?

Answer: LCM of Numerators as per given numbers 311/200, 126/737, 266/531 is

LCM of Numerators i.e. for 311,126,266 is 744534

GCF of denominators i.e. for 200,737,531 is 1.

Thus, LCM of Fractions is 744534.Finally, LCM of Fractions for 311/200, 126/737, 266/531 is 744534.