Least Common Multiple of 21/611, 30/973, 383/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/611, 30/973, 383/178 quickly i.e. 80430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/611, 30/973, 383/178 is 80430.

LCM(21/611, 30/973, 383/178) = 80430

LCM of 21/611, 30/973, 383/178

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 21/611,30/973,383/178

Given numbers are 21/611,30/973,383/178

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 21,30,383

Least Common Multiple of Numerators i.e. LCM of 21,30,383 is 80430.

GCF of Denominators means GCF of 611,973,178 as per the given fractions.

GCF of 611,973,178 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,30,383

LCM of Fractions 21/611,30/973,383/178 is 80430

3 21, 30, 383
7, 10, 383

∴ So the LCM of the given numbers is 3 x 7 x 10 x 383 = 80430

Least Common Multiple of 21,30,383 with GCF Formula

Least Common Multiple of 21,30,383 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 21,30,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,30,383) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,30,383) x common factors =1 x 3 = 3

LCM(21,30,383) = ( 21 × 30 × 383 ) / 3

LCM(21,30,383) = 241290 / 3

LCM(21,30,383) = 80430


Lets's calculate GCF of 611,973,178

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80430/1

Therefore the LCM of Fractions 21/611,30/973,383/178 is 80430

Greatest Common Factor of 611,973,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,973,178 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 611,973,178 . The biggest common factor number is the GCF number.
So the greatest common factor 611,973,178 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 21/611, 30/973, 383/178

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 21/611, 30/973, 383/178?

Answer: LCM of Numerators as per given numbers 21/611, 30/973, 383/178 is

LCM of Numerators i.e. for 21,30,383 is 80430

GCF of denominators i.e. for 611,973,178 is 1.

Thus, LCM of Fractions is 80430.Finally, LCM of Fractions for 21/611, 30/973, 383/178 is 80430.