Least Common Multiple of 961/182, 5711/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 961/182, 5711/910 quickly i.e. 5488271/182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 961/182, 5711/910 is 5488271/182.

LCM(961/182, 5711/910) = 5488271/182

LCM of 961/182, 5711/910

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 961/182,5711/910

Given numbers are 961/182,5711/910

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 961,5711

Least Common Multiple of Numerators i.e. LCM of 961,5711 is 5488271.

GCF of Denominators means GCF of 182,910 as per the given fractions.

GCF of 182,910 is 182 as it is the largest common factor for these numbers.

Lets's calculate LCM of 961,5711

LCM of Fractions 961/182,5711/910 is 5488271/182

Given numbers has no common factors except 1. So, there LCM is their product i.e 5488271

Least Common Multiple of 961,5711 with GCF Formula

Least Common Multiple of 961,5711 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 961,5711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,5711) = 1

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

GCF(961,5711) x common factors =1 x 1 = 1

LCM(961,5711) = ( 961 × 5711 ) / 1

LCM(961,5711) = 5488271 / 1

LCM(961,5711) = 5488271


Lets's calculate GCF of 182,910

2 182, 910
7 91, 455
13 13, 65
1, 5

∴ So the GCF of the given numbers is 2 x 7 x 13 = 182

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5488271/182

Therefore the LCM of Fractions 961/182,5711/910 is 5488271/182

Greatest Common Factor of 182,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,910 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 182,910 . The biggest common factor number is the GCF number.
So the greatest common factor 182,910 is 182.


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 961/182, 5711/910

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 961/182, 5711/910?

Answer: LCM of Numerators as per given numbers 961/182, 5711/910 is

LCM of Numerators i.e. for 961,5711 is 5488271

GCF of denominators i.e. for 182,910 is 182.

Thus, LCM of Fractions is 5488271/182.Finally, LCM of Fractions for 961/182, 5711/910 is 5488271/182.