Least Common Multiple of 11/975, 11/648, 141/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/975, 11/648, 141/843 quickly i.e. 517 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/975, 11/648, 141/843 is 517.

LCM(11/975, 11/648, 141/843) = 517

LCM of 11/975, 11/648, 141/843

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 11/975,11/648,141/843

Given numbers are 11/975,11/648,141/843

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 11,11,141

Least Common Multiple of Numerators i.e. LCM of 11,11,141 is 1551.

GCF of Denominators means GCF of 975,648,843 as per the given fractions.

GCF of 975,648,843 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,11,141

LCM of Fractions 11/975,11/648,141/843 is 517

11 11, 11, 141
1, 1, 141

∴ So the LCM of the given numbers is 11 x 1 x 1 x 141 = 1551

Least Common Multiple of 11,11,141 with GCF Formula

Least Common Multiple of 11,11,141 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 11,11,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,11,141) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(11,11,141) x common factors =1 x 11 = 11

LCM(11,11,141) = ( 11 × 11 × 141 ) / 11

LCM(11,11,141) = 17061 / 11

LCM(11,11,141) = 1551


Lets's calculate GCF of 975,648,843

3 975, 648, 843
325, 216, 281

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1551/3

Therefore the LCM of Fractions 11/975,11/648,141/843 is 517

Greatest Common Factor of 975,648,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,648,843 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 975,648,843 . The biggest common factor number is the GCF number.
So the greatest common factor 975,648,843 is 3.


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 11/975, 11/648, 141/843

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 11/975, 11/648, 141/843?

Answer: LCM of Numerators as per given numbers 11/975, 11/648, 141/843 is

LCM of Numerators i.e. for 11,11,141 is 1551

GCF of denominators i.e. for 975,648,843 is 3.

Thus, LCM of Fractions is 517.Finally, LCM of Fractions for 11/975, 11/648, 141/843 is 517.