Least Common Multiple of 114/77, 268/1001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/77, 268/1001 quickly i.e. 15276/77 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/77, 268/1001 is 15276/77.

LCM(114/77, 268/1001) = 15276/77

LCM of 114/77, 268/1001

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 114/77,268/1001

Given numbers are 114/77,268/1001

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 114,268

Least Common Multiple of Numerators i.e. LCM of 114,268 is 15276.

GCF of Denominators means GCF of 77,1001 as per the given fractions.

GCF of 77,1001 is 77 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,268

LCM of Fractions 114/77,268/1001 is 15276/77

2 114, 268
57, 134

∴ So the LCM of the given numbers is 2 x 57 x 134 = 15276

Least Common Multiple of 114,268 with GCF Formula

Least Common Multiple of 114,268 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 114,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,268) = 2

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

GCF(114,268) x common factors =2 x 1 = 2

LCM(114,268) = ( 114 × 268 ) / 2

LCM(114,268) = 30552 / 2

LCM(114,268) = 15276


Lets's calculate GCF of 77,1001

7 77, 1001
11 11, 143
1, 13

∴ So the GCF of the given numbers is 7 x 11 = 77

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15276/77

Therefore the LCM of Fractions 114/77,268/1001 is 15276/77

Greatest Common Factor of 77,1001 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,1001 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 1001

List of positive integer factors of 1001 that divides 1001 without a remainder.

1,7,11,13,77,91,143,1001

Greatest Common Factor

We found the factors 77,1001 . The biggest common factor number is the GCF number.
So the greatest common factor 77,1001 is 77.


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 114/77, 268/1001

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 114/77, 268/1001?

Answer: LCM of Numerators as per given numbers 114/77, 268/1001 is

LCM of Numerators i.e. for 114,268 is 15276

GCF of denominators i.e. for 77,1001 is 77.

Thus, LCM of Fractions is 15276/77.Finally, LCM of Fractions for 114/77, 268/1001 is 15276/77.