Least Common Multiple of 84/966, 219/967, 874/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/966, 219/967, 874/424 quickly i.e. 2679684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/966, 219/967, 874/424 is 2679684.

LCM(84/966, 219/967, 874/424) = 2679684

LCM of 84/966, 219/967, 874/424

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 84/966,219/967,874/424

Given numbers are 84/966,219/967,874/424

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 84,219,874

Least Common Multiple of Numerators i.e. LCM of 84,219,874 is 2679684.

GCF of Denominators means GCF of 966,967,424 as per the given fractions.

GCF of 966,967,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,219,874

LCM of Fractions 84/966,219/967,874/424 is 2679684

2 84, 219, 874
3 42, 219, 437
14, 73, 437

∴ So the LCM of the given numbers is 2 x 3 x 14 x 73 x 437 = 2679684

Least Common Multiple of 84,219,874 with GCF Formula

Least Common Multiple of 84,219,874 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 84,219,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,219,874) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(84,219,874) x common factors =1 x 6 = 6

LCM(84,219,874) = ( 84 × 219 × 874 ) / 6

LCM(84,219,874) = 16078104 / 6

LCM(84,219,874) = 2679684


Lets's calculate GCF of 966,967,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2679684/1

Therefore the LCM of Fractions 84/966,219/967,874/424 is 2679684

Greatest Common Factor of 966,967,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,967,424 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 966,967,424 . The biggest common factor number is the GCF number.
So the greatest common factor 966,967,424 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 84/966, 219/967, 874/424

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 84/966, 219/967, 874/424?

Answer: LCM of Numerators as per given numbers 84/966, 219/967, 874/424 is

LCM of Numerators i.e. for 84,219,874 is 2679684

GCF of denominators i.e. for 966,967,424 is 1.

Thus, LCM of Fractions is 2679684.Finally, LCM of Fractions for 84/966, 219/967, 874/424 is 2679684.