Least Common Multiple of 6136/334, 3835/7661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6136/334, 3835/7661 quickly i.e. 30680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6136/334, 3835/7661 is 30680.

LCM(6136/334, 3835/7661) = 30680

LCM of 6136/334, 3835/7661

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 6136/334,3835/7661

Given numbers are 6136/334,3835/7661

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 6136,3835

Least Common Multiple of Numerators i.e. LCM of 6136,3835 is 30680.

GCF of Denominators means GCF of 334,7661 as per the given fractions.

GCF of 334,7661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6136,3835

LCM of Fractions 6136/334,3835/7661 is 30680

13 6136, 3835
59 472, 295
8, 5

∴ So the LCM of the given numbers is 13 x 59 x 8 x 5 = 30680

Least Common Multiple of 6136,3835 with GCF Formula

Least Common Multiple of 6136,3835 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 6136,3835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6136,3835) = 767

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

GCF(6136,3835) x common factors =767 x 1 = 767

LCM(6136,3835) = ( 6136 × 3835 ) / 767

LCM(6136,3835) = 23531560 / 767

LCM(6136,3835) = 30680


Lets's calculate GCF of 334,7661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30680/1

Therefore the LCM of Fractions 6136/334,3835/7661 is 30680

Greatest Common Factor of 334,7661 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,7661 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 7661

List of positive integer factors of 7661 that divides 7661 without a remainder.

1,47,163,7661

Greatest Common Factor

We found the factors 334,7661 . The biggest common factor number is the GCF number.
So the greatest common factor 334,7661 is 1.


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 6136/334, 3835/7661

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 6136/334, 3835/7661?

Answer: LCM of Numerators as per given numbers 6136/334, 3835/7661 is

LCM of Numerators i.e. for 6136,3835 is 30680

GCF of denominators i.e. for 334,7661 is 1.

Thus, LCM of Fractions is 30680.Finally, LCM of Fractions for 6136/334, 3835/7661 is 30680.