Least Common Multiple of 84/421, 51/763, 128/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/421, 51/763, 128/408 quickly i.e. 45696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/421, 51/763, 128/408 is 45696.

LCM(84/421, 51/763, 128/408) = 45696

LCM of 84/421, 51/763, 128/408

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 84/421,51/763,128/408

Given numbers are 84/421,51/763,128/408

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 84,51,128

Least Common Multiple of Numerators i.e. LCM of 84,51,128 is 45696.

GCF of Denominators means GCF of 421,763,408 as per the given fractions.

GCF of 421,763,408 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,51,128

LCM of Fractions 84/421,51/763,128/408 is 45696

2 84, 51, 128
2 42, 51, 64
3 21, 51, 32
7, 17, 32

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 17 x 32 = 45696

Least Common Multiple of 84,51,128 with GCF Formula

Least Common Multiple of 84,51,128 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 84,51,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,51,128) = 1

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

GCF(84,51,128) x common factors =1 x 12 = 12

LCM(84,51,128) = ( 84 × 51 × 128 ) / 12

LCM(84,51,128) = 548352 / 12

LCM(84,51,128) = 45696


Lets's calculate GCF of 421,763,408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45696/1

Therefore the LCM of Fractions 84/421,51/763,128/408 is 45696

Greatest Common Factor of 421,763,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,763,408 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 421,763,408 . The biggest common factor number is the GCF number.
So the greatest common factor 421,763,408 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 84/421, 51/763, 128/408

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 84/421, 51/763, 128/408?

Answer: LCM of Numerators as per given numbers 84/421, 51/763, 128/408 is

LCM of Numerators i.e. for 84,51,128 is 45696

GCF of denominators i.e. for 421,763,408 is 1.

Thus, LCM of Fractions is 45696.Finally, LCM of Fractions for 84/421, 51/763, 128/408 is 45696.