Least Common Multiple of 6161/898, 5715/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6161/898, 5715/756 quickly i.e. 35210115/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6161/898, 5715/756 is 35210115/2.

LCM(6161/898, 5715/756) = 35210115/2

LCM of 6161/898, 5715/756

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 6161/898,5715/756

Given numbers are 6161/898,5715/756

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 6161,5715

Least Common Multiple of Numerators i.e. LCM of 6161,5715 is 35210115.

GCF of Denominators means GCF of 898,756 as per the given fractions.

GCF of 898,756 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6161,5715

LCM of Fractions 6161/898,5715/756 is 35210115/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 35210115

Least Common Multiple of 6161,5715 with GCF Formula

Least Common Multiple of 6161,5715 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 6161,5715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6161,5715) = 1

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

GCF(6161,5715) x common factors =1 x 1 = 1

LCM(6161,5715) = ( 6161 × 5715 ) / 1

LCM(6161,5715) = 35210115 / 1

LCM(6161,5715) = 35210115


Lets's calculate GCF of 898,756

2 898, 756
449, 378

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35210115/2

Therefore the LCM of Fractions 6161/898,5715/756 is 35210115/2

Greatest Common Factor of 898,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,756 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 898,756 . The biggest common factor number is the GCF number.
So the greatest common factor 898,756 is 2.


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 6161/898, 5715/756

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 6161/898, 5715/756?

Answer: LCM of Numerators as per given numbers 6161/898, 5715/756 is

LCM of Numerators i.e. for 6161,5715 is 35210115

GCF of denominators i.e. for 898,756 is 2.

Thus, LCM of Fractions is 35210115/2.Finally, LCM of Fractions for 6161/898, 5715/756 is 35210115/2.