Least Common Multiple of 3877/340, 9614/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3877/340, 9614/136 quickly i.e. 37273478/68 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3877/340, 9614/136 is 37273478/68.

LCM(3877/340, 9614/136) = 37273478/68

LCM of 3877/340, 9614/136

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 3877/340,9614/136

Given numbers are 3877/340,9614/136

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 3877,9614

Least Common Multiple of Numerators i.e. LCM of 3877,9614 is 37273478.

GCF of Denominators means GCF of 340,136 as per the given fractions.

GCF of 340,136 is 68 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3877,9614

LCM of Fractions 3877/340,9614/136 is 37273478/68

Given numbers has no common factors except 1. So, there LCM is their product i.e 37273478

Least Common Multiple of 3877,9614 with GCF Formula

Least Common Multiple of 3877,9614 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 3877,9614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3877,9614) = 1

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

GCF(3877,9614) x common factors =1 x 1 = 1

LCM(3877,9614) = ( 3877 × 9614 ) / 1

LCM(3877,9614) = 37273478 / 1

LCM(3877,9614) = 37273478


Lets's calculate GCF of 340,136

2 340, 136
2 170, 68
17 85, 34
5, 2

∴ So the GCF of the given numbers is 2 x 2 x 17 = 68

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37273478/68

Therefore the LCM of Fractions 3877/340,9614/136 is 37273478/68

Greatest Common Factor of 340,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,136 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 340,136 . The biggest common factor number is the GCF number.
So the greatest common factor 340,136 is 68.


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 3877/340, 9614/136

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 3877/340, 9614/136?

Answer: LCM of Numerators as per given numbers 3877/340, 9614/136 is

LCM of Numerators i.e. for 3877,9614 is 37273478

GCF of denominators i.e. for 340,136 is 68.

Thus, LCM of Fractions is 37273478/68.Finally, LCM of Fractions for 3877/340, 9614/136 is 37273478/68.