Least Common Multiple of 8682/37, 1254/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8682/37, 1254/134 quickly i.e. 1814538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8682/37, 1254/134 is 1814538.

LCM(8682/37, 1254/134) = 1814538

LCM of 8682/37, 1254/134

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 8682/37,1254/134

Given numbers are 8682/37,1254/134

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 8682,1254

Least Common Multiple of Numerators i.e. LCM of 8682,1254 is 1814538.

GCF of Denominators means GCF of 37,134 as per the given fractions.

GCF of 37,134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8682,1254

LCM of Fractions 8682/37,1254/134 is 1814538

2 8682, 1254
3 4341, 627
1447, 209

∴ So the LCM of the given numbers is 2 x 3 x 1447 x 209 = 1814538

Least Common Multiple of 8682,1254 with GCF Formula

Least Common Multiple of 8682,1254 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 8682,1254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8682,1254) = 6

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

GCF(8682,1254) x common factors =6 x 1 = 6

LCM(8682,1254) = ( 8682 × 1254 ) / 6

LCM(8682,1254) = 10887228 / 6

LCM(8682,1254) = 1814538


Lets's calculate GCF of 37,134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1814538/1

Therefore the LCM of Fractions 8682/37,1254/134 is 1814538

Greatest Common Factor of 37,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,134 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 37,134 . The biggest common factor number is the GCF number.
So the greatest common factor 37,134 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8682/37, 1254/134

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 8682/37, 1254/134?

Answer: LCM of Numerators as per given numbers 8682/37, 1254/134 is

LCM of Numerators i.e. for 8682,1254 is 1814538

GCF of denominators i.e. for 37,134 is 1.

Thus, LCM of Fractions is 1814538.Finally, LCM of Fractions for 8682/37, 1254/134 is 1814538.