Least Common Multiple of 469/21, 854/85, 139/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/21, 854/85, 139/449 quickly i.e. 7953302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/21, 854/85, 139/449 is 7953302.

LCM(469/21, 854/85, 139/449) = 7953302

LCM of 469/21, 854/85, 139/449

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 469/21,854/85,139/449

Given numbers are 469/21,854/85,139/449

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 469,854,139

Least Common Multiple of Numerators i.e. LCM of 469,854,139 is 7953302.

GCF of Denominators means GCF of 21,85,449 as per the given fractions.

GCF of 21,85,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,854,139

LCM of Fractions 469/21,854/85,139/449 is 7953302

7 469, 854, 139
67, 122, 139

∴ So the LCM of the given numbers is 7 x 67 x 122 x 139 = 7953302

Least Common Multiple of 469,854,139 with GCF Formula

Least Common Multiple of 469,854,139 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 469,854,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,854,139) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(469,854,139) x common factors =1 x 7 = 7

LCM(469,854,139) = ( 469 × 854 × 139 ) / 7

LCM(469,854,139) = 55673114 / 7

LCM(469,854,139) = 7953302


Lets's calculate GCF of 21,85,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7953302/1

Therefore the LCM of Fractions 469/21,854/85,139/449 is 7953302

Greatest Common Factor of 21,85,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,85,449 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 21,85,449 . The biggest common factor number is the GCF number.
So the greatest common factor 21,85,449 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 469/21, 854/85, 139/449

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 469/21, 854/85, 139/449?

Answer: LCM of Numerators as per given numbers 469/21, 854/85, 139/449 is

LCM of Numerators i.e. for 469,854,139 is 7953302

GCF of denominators i.e. for 21,85,449 is 1.

Thus, LCM of Fractions is 7953302.Finally, LCM of Fractions for 469/21, 854/85, 139/449 is 7953302.