Least Common Multiple of 84/74, 141/54, 856/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/74, 141/54, 856/897 quickly i.e. 844872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/74, 141/54, 856/897 is 844872.

LCM(84/74, 141/54, 856/897) = 844872

LCM of 84/74, 141/54, 856/897

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 84/74,141/54,856/897

Given numbers are 84/74,141/54,856/897

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 84,141,856

Least Common Multiple of Numerators i.e. LCM of 84,141,856 is 844872.

GCF of Denominators means GCF of 74,54,897 as per the given fractions.

GCF of 74,54,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,141,856

LCM of Fractions 84/74,141/54,856/897 is 844872

2 84, 141, 856
2 42, 141, 428
3 21, 141, 214
7, 47, 214

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 47 x 214 = 844872

Least Common Multiple of 84,141,856 with GCF Formula

Least Common Multiple of 84,141,856 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 84,141,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,141,856) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,141,856) x common factors =1 x 12 = 12

LCM(84,141,856) = ( 84 × 141 × 856 ) / 12

LCM(84,141,856) = 10138464 / 12

LCM(84,141,856) = 844872


Lets's calculate GCF of 74,54,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 844872/1

Therefore the LCM of Fractions 84/74,141/54,856/897 is 844872

Greatest Common Factor of 74,54,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,54,897 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 74,54,897 . The biggest common factor number is the GCF number.
So the greatest common factor 74,54,897 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 84/74, 141/54, 856/897

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 84/74, 141/54, 856/897?

Answer: LCM of Numerators as per given numbers 84/74, 141/54, 856/897 is

LCM of Numerators i.e. for 84,141,856 is 844872

GCF of denominators i.e. for 74,54,897 is 1.

Thus, LCM of Fractions is 844872.Finally, LCM of Fractions for 84/74, 141/54, 856/897 is 844872.