Least Common Multiple of 84/868, 81/346, 857/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/868, 81/346, 857/946 quickly i.e. 971838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/868, 81/346, 857/946 is 971838.

LCM(84/868, 81/346, 857/946) = 971838

LCM of 84/868, 81/346, 857/946

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 84/868,81/346,857/946

Given numbers are 84/868,81/346,857/946

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 84,81,857

Least Common Multiple of Numerators i.e. LCM of 84,81,857 is 1943676.

GCF of Denominators means GCF of 868,346,946 as per the given fractions.

GCF of 868,346,946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,81,857

LCM of Fractions 84/868,81/346,857/946 is 971838

3 84, 81, 857
28, 27, 857

∴ So the LCM of the given numbers is 3 x 28 x 27 x 857 = 1943676

Least Common Multiple of 84,81,857 with GCF Formula

Least Common Multiple of 84,81,857 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 84,81,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,81,857) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(84,81,857) x common factors =1 x 3 = 3

LCM(84,81,857) = ( 84 × 81 × 857 ) / 3

LCM(84,81,857) = 5831028 / 3

LCM(84,81,857) = 1943676


Lets's calculate GCF of 868,346,946

2 868, 346, 946
434, 173, 473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1943676/2

Therefore the LCM of Fractions 84/868,81/346,857/946 is 971838

Greatest Common Factor of 868,346,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,346,946 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 868,346,946 . The biggest common factor number is the GCF number.
So the greatest common factor 868,346,946 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 84/868, 81/346, 857/946

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 84/868, 81/346, 857/946?

Answer: LCM of Numerators as per given numbers 84/868, 81/346, 857/946 is

LCM of Numerators i.e. for 84,81,857 is 1943676

GCF of denominators i.e. for 868,346,946 is 2.

Thus, LCM of Fractions is 971838.Finally, LCM of Fractions for 84/868, 81/346, 857/946 is 971838.