Least Common Multiple of 87/983, 29/792, 606/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/983, 29/792, 606/421 quickly i.e. 17574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/983, 29/792, 606/421 is 17574.

LCM(87/983, 29/792, 606/421) = 17574

LCM of 87/983, 29/792, 606/421

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 87/983,29/792,606/421

Given numbers are 87/983,29/792,606/421

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 87,29,606

Least Common Multiple of Numerators i.e. LCM of 87,29,606 is 17574.

GCF of Denominators means GCF of 983,792,421 as per the given fractions.

GCF of 983,792,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,29,606

LCM of Fractions 87/983,29/792,606/421 is 17574

3 87, 29, 606
29 29, 29, 202
1, 1, 202

∴ So the LCM of the given numbers is 3 x 29 x 1 x 1 x 202 = 17574

Least Common Multiple of 87,29,606 with GCF Formula

Least Common Multiple of 87,29,606 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 87,29,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,29,606) = 1

common factors(in case of two or more numbers have common factors) = 87

GCF(87,29,606) x common factors =1 x 87 = 87

LCM(87,29,606) = ( 87 × 29 × 606 ) / 87

LCM(87,29,606) = 1528938 / 87

LCM(87,29,606) = 17574


Lets's calculate GCF of 983,792,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17574/1

Therefore the LCM of Fractions 87/983,29/792,606/421 is 17574

Greatest Common Factor of 983,792,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,792,421 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 421

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

1,421

Greatest Common Factor

We found the factors 983,792,421 . The biggest common factor number is the GCF number.
So the greatest common factor 983,792,421 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 87/983, 29/792, 606/421

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 87/983, 29/792, 606/421?

Answer: LCM of Numerators as per given numbers 87/983, 29/792, 606/421 is

LCM of Numerators i.e. for 87,29,606 is 17574

GCF of denominators i.e. for 983,792,421 is 1.

Thus, LCM of Fractions is 17574.Finally, LCM of Fractions for 87/983, 29/792, 606/421 is 17574.