Least Common Multiple of 87/45, 30/63, 974/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/45, 30/63, 974/418 quickly i.e. 423690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/45, 30/63, 974/418 is 423690.

LCM(87/45, 30/63, 974/418) = 423690

LCM of 87/45, 30/63, 974/418

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 87/45,30/63,974/418

Given numbers are 87/45,30/63,974/418

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 87,30,974

Least Common Multiple of Numerators i.e. LCM of 87,30,974 is 423690.

GCF of Denominators means GCF of 45,63,418 as per the given fractions.

GCF of 45,63,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,30,974

LCM of Fractions 87/45,30/63,974/418 is 423690

2 87, 30, 974
3 87, 15, 487
29, 5, 487

∴ So the LCM of the given numbers is 2 x 3 x 29 x 5 x 487 = 423690

Least Common Multiple of 87,30,974 with GCF Formula

Least Common Multiple of 87,30,974 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 87,30,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,30,974) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(87,30,974) x common factors =1 x 6 = 6

LCM(87,30,974) = ( 87 × 30 × 974 ) / 6

LCM(87,30,974) = 2542140 / 6

LCM(87,30,974) = 423690


Lets's calculate GCF of 45,63,418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 423690/1

Therefore the LCM of Fractions 87/45,30/63,974/418 is 423690

Greatest Common Factor of 45,63,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,63,418 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 45,63,418 . The biggest common factor number is the GCF number.
So the greatest common factor 45,63,418 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 87/45, 30/63, 974/418

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 87/45, 30/63, 974/418?

Answer: LCM of Numerators as per given numbers 87/45, 30/63, 974/418 is

LCM of Numerators i.e. for 87,30,974 is 423690

GCF of denominators i.e. for 45,63,418 is 1.

Thus, LCM of Fractions is 423690.Finally, LCM of Fractions for 87/45, 30/63, 974/418 is 423690.