Least Common Multiple of 63/672, 99/428, 164/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/672, 99/428, 164/406 quickly i.e. 56826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/672, 99/428, 164/406 is 56826.

LCM(63/672, 99/428, 164/406) = 56826

LCM of 63/672, 99/428, 164/406

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 63/672,99/428,164/406

Given numbers are 63/672,99/428,164/406

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 63,99,164

Least Common Multiple of Numerators i.e. LCM of 63,99,164 is 113652.

GCF of Denominators means GCF of 672,428,406 as per the given fractions.

GCF of 672,428,406 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,99,164

LCM of Fractions 63/672,99/428,164/406 is 56826

3 63, 99, 164
3 21, 33, 164
7, 11, 164

∴ So the LCM of the given numbers is 3 x 3 x 7 x 11 x 164 = 113652

Least Common Multiple of 63,99,164 with GCF Formula

Least Common Multiple of 63,99,164 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 63,99,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,99,164) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(63,99,164) x common factors =1 x 9 = 9

LCM(63,99,164) = ( 63 × 99 × 164 ) / 9

LCM(63,99,164) = 1022868 / 9

LCM(63,99,164) = 113652


Lets's calculate GCF of 672,428,406

2 672, 428, 406
336, 214, 203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113652/2

Therefore the LCM of Fractions 63/672,99/428,164/406 is 56826

Greatest Common Factor of 672,428,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,428,406 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 672,428,406 . The biggest common factor number is the GCF number.
So the greatest common factor 672,428,406 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 63/672, 99/428, 164/406

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 63/672, 99/428, 164/406?

Answer: LCM of Numerators as per given numbers 63/672, 99/428, 164/406 is

LCM of Numerators i.e. for 63,99,164 is 113652

GCF of denominators i.e. for 672,428,406 is 2.

Thus, LCM of Fractions is 56826.Finally, LCM of Fractions for 63/672, 99/428, 164/406 is 56826.