Least Common Multiple of 83/308, 253/421, 128/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/308, 253/421, 128/842 quickly i.e. 2687872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/308, 253/421, 128/842 is 2687872.

LCM(83/308, 253/421, 128/842) = 2687872

LCM of 83/308, 253/421, 128/842

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 83/308,253/421,128/842

Given numbers are 83/308,253/421,128/842

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 83,253,128

Least Common Multiple of Numerators i.e. LCM of 83,253,128 is 2687872.

GCF of Denominators means GCF of 308,421,842 as per the given fractions.

GCF of 308,421,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,253,128

LCM of Fractions 83/308,253/421,128/842 is 2687872

Given numbers has no common factors except 1. So, there LCM is their product i.e 2687872

Least Common Multiple of 83,253,128 with GCF Formula

Least Common Multiple of 83,253,128 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 83,253,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,253,128) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(83,253,128) x common factors =1 x 1 = 1

LCM(83,253,128) = ( 83 × 253 × 128 ) / 1

LCM(83,253,128) = 2687872 / 1

LCM(83,253,128) = 2687872


Lets's calculate GCF of 308,421,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2687872/1

Therefore the LCM of Fractions 83/308,253/421,128/842 is 2687872

Greatest Common Factor of 308,421,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,421,842 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 421

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

1,421

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 308,421,842 . The biggest common factor number is the GCF number.
So the greatest common factor 308,421,842 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 83/308, 253/421, 128/842

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 83/308, 253/421, 128/842?

Answer: LCM of Numerators as per given numbers 83/308, 253/421, 128/842 is

LCM of Numerators i.e. for 83,253,128 is 2687872

GCF of denominators i.e. for 308,421,842 is 1.

Thus, LCM of Fractions is 2687872.Finally, LCM of Fractions for 83/308, 253/421, 128/842 is 2687872.