Least Common Multiple of 969/286, 136/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/286, 136/451 quickly i.e. 7752/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/286, 136/451 is 7752/11.

LCM(969/286, 136/451) = 7752/11

LCM of 969/286, 136/451

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 969/286,136/451

Given numbers are 969/286,136/451

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 969,136

Least Common Multiple of Numerators i.e. LCM of 969,136 is 7752.

GCF of Denominators means GCF of 286,451 as per the given fractions.

GCF of 286,451 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,136

LCM of Fractions 969/286,136/451 is 7752/11

17 969, 136
57, 8

∴ So the LCM of the given numbers is 17 x 57 x 8 = 7752

Least Common Multiple of 969,136 with GCF Formula

Least Common Multiple of 969,136 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 969,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,136) = 17

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

GCF(969,136) x common factors =17 x 1 = 17

LCM(969,136) = ( 969 × 136 ) / 17

LCM(969,136) = 131784 / 17

LCM(969,136) = 7752


Lets's calculate GCF of 286,451

11 286, 451
26, 41

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7752/11

Therefore the LCM of Fractions 969/286,136/451 is 7752/11

Greatest Common Factor of 286,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,451 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 286,451 . The biggest common factor number is the GCF number.
So the greatest common factor 286,451 is 11.


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 969/286, 136/451

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 969/286, 136/451?

Answer: LCM of Numerators as per given numbers 969/286, 136/451 is

LCM of Numerators i.e. for 969,136 is 7752

GCF of denominators i.e. for 286,451 is 11.

Thus, LCM of Fractions is 7752/11.Finally, LCM of Fractions for 969/286, 136/451 is 7752/11.