Least Common Multiple of 1361/426, 8654/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1361/426, 8654/151 quickly i.e. 11778094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1361/426, 8654/151 is 11778094.

LCM(1361/426, 8654/151) = 11778094

LCM of 1361/426, 8654/151

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 1361/426,8654/151

Given numbers are 1361/426,8654/151

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 1361,8654

Least Common Multiple of Numerators i.e. LCM of 1361,8654 is 11778094.

GCF of Denominators means GCF of 426,151 as per the given fractions.

GCF of 426,151 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1361,8654

LCM of Fractions 1361/426,8654/151 is 11778094

Given numbers has no common factors except 1. So, there LCM is their product i.e 11778094

Least Common Multiple of 1361,8654 with GCF Formula

Least Common Multiple of 1361,8654 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 1361,8654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1361,8654) = 1

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

GCF(1361,8654) x common factors =1 x 1 = 1

LCM(1361,8654) = ( 1361 × 8654 ) / 1

LCM(1361,8654) = 11778094 / 1

LCM(1361,8654) = 11778094


Lets's calculate GCF of 426,151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11778094/1

Therefore the LCM of Fractions 1361/426,8654/151 is 11778094

Greatest Common Factor of 426,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,151 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 426,151 . The biggest common factor number is the GCF number.
So the greatest common factor 426,151 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1361/426, 8654/151

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 1361/426, 8654/151?

Answer: LCM of Numerators as per given numbers 1361/426, 8654/151 is

LCM of Numerators i.e. for 1361,8654 is 11778094

GCF of denominators i.e. for 426,151 is 1.

Thus, LCM of Fractions is 11778094.Finally, LCM of Fractions for 1361/426, 8654/151 is 11778094.