Least Common Multiple of 47/46, 84/45, 90/54, 56/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/46, 84/45, 90/54, 56/210 quickly i.e. 118440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/46, 84/45, 90/54, 56/210 is 118440.

LCM(47/46, 84/45, 90/54, 56/210) = 118440

LCM of 47/46, 84/45, 90/54, 56/210

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 47/46,84/45,90/54,56/210

Given numbers are 47/46,84/45,90/54,56/210

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 47,84,90,56

Least Common Multiple of Numerators i.e. LCM of 47,84,90,56 is 118440.

GCF of Denominators means GCF of 46,45,54,210 as per the given fractions.

GCF of 46,45,54,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,84,90,56

LCM of Fractions 47/46,84/45,90/54,56/210 is 118440

2 47, 84, 90, 56
2 47, 42, 45, 28
3 47, 21, 45, 14
7 47, 7, 15, 14
47, 1, 15, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 47 x 1 x 15 x 2 = 118440

Least Common Multiple of 47,84,90,56 with GCF Formula

Least Common Multiple of 47,84,90,56 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 47,84,90,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,84,90,56) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(47,84,90,56) x common factors =1 x 168 = 168

LCM(47,84,90,56) = ( 47 × 84 × 90 × 56 ) / 168

LCM(47,84,90,56) = 19897920 / 168

LCM(47,84,90,56) = 118440


Lets's calculate GCF of 46,45,54,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118440/1

Therefore the LCM of Fractions 47/46,84/45,90/54,56/210 is 118440

Greatest Common Factor of 46,45,54,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,45,54,210 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 45

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

1,3,5,9,15,45

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 46,45,54,210 . The biggest common factor number is the GCF number.
So the greatest common factor 46,45,54,210 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 47/46, 84/45, 90/54, 56/210

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 47/46, 84/45, 90/54, 56/210?

Answer: LCM of Numerators as per given numbers 47/46, 84/45, 90/54, 56/210 is

LCM of Numerators i.e. for 47,84,90,56 is 118440

GCF of denominators i.e. for 46,45,54,210 is 1.

Thus, LCM of Fractions is 118440.Finally, LCM of Fractions for 47/46, 84/45, 90/54, 56/210 is 118440.