Least Common Multiple of 21/12, 415/55, 967/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/12, 415/55, 967/918 quickly i.e. 8427405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/12, 415/55, 967/918 is 8427405.

LCM(21/12, 415/55, 967/918) = 8427405

LCM of 21/12, 415/55, 967/918

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 21/12,415/55,967/918

Given numbers are 21/12,415/55,967/918

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 21,415,967

Least Common Multiple of Numerators i.e. LCM of 21,415,967 is 8427405.

GCF of Denominators means GCF of 12,55,918 as per the given fractions.

GCF of 12,55,918 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,415,967

LCM of Fractions 21/12,415/55,967/918 is 8427405

Given numbers has no common factors except 1. So, there LCM is their product i.e 8427405

Least Common Multiple of 21,415,967 with GCF Formula

Least Common Multiple of 21,415,967 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 21,415,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,415,967) = 1

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

GCF(21,415,967) x common factors =1 x 1 = 1

LCM(21,415,967) = ( 21 × 415 × 967 ) / 1

LCM(21,415,967) = 8427405 / 1

LCM(21,415,967) = 8427405


Lets's calculate GCF of 12,55,918

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8427405/1

Therefore the LCM of Fractions 21/12,415/55,967/918 is 8427405

Greatest Common Factor of 12,55,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,55,918 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 12,55,918 . The biggest common factor number is the GCF number.
So the greatest common factor 12,55,918 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 21/12, 415/55, 967/918

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 21/12, 415/55, 967/918?

Answer: LCM of Numerators as per given numbers 21/12, 415/55, 967/918 is

LCM of Numerators i.e. for 21,415,967 is 8427405

GCF of denominators i.e. for 12,55,918 is 1.

Thus, LCM of Fractions is 8427405.Finally, LCM of Fractions for 21/12, 415/55, 967/918 is 8427405.