Least Common Multiple of 90/56, 24/10, 70/46, 49/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/56, 24/10, 70/46, 49/408 quickly i.e. 8820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/56, 24/10, 70/46, 49/408 is 8820.

LCM(90/56, 24/10, 70/46, 49/408) = 8820

LCM of 90/56, 24/10, 70/46, 49/408

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 90/56,24/10,70/46,49/408

Given numbers are 90/56,24/10,70/46,49/408

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 90,24,70,49

Least Common Multiple of Numerators i.e. LCM of 90,24,70,49 is 17640.

GCF of Denominators means GCF of 56,10,46,408 as per the given fractions.

GCF of 56,10,46,408 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,24,70,49

LCM of Fractions 90/56,24/10,70/46,49/408 is 8820

2 90, 24, 70, 49
3 45, 12, 35, 49
5 15, 4, 35, 49
7 3, 4, 7, 49
3, 4, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 3 x 4 x 1 x 7 = 17640

Least Common Multiple of 90,24,70,49 with GCF Formula

Least Common Multiple of 90,24,70,49 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 90,24,70,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,24,70,49) = 1

common factors(in case of two or more numbers have common factors) = 420

GCF(90,24,70,49) x common factors =1 x 420 = 420

LCM(90,24,70,49) = ( 90 × 24 × 70 × 49 ) / 420

LCM(90,24,70,49) = 7408800 / 420

LCM(90,24,70,49) = 17640


Lets's calculate GCF of 56,10,46,408

2 56, 10, 46, 408
28, 5, 23, 204

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17640/2

Therefore the LCM of Fractions 90/56,24/10,70/46,49/408 is 8820

Greatest Common Factor of 56,10,46,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,10,46,408 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 46

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

1,2,23,46

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 56,10,46,408 . The biggest common factor number is the GCF number.
So the greatest common factor 56,10,46,408 is 2.


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 90/56, 24/10, 70/46, 49/408

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 90/56, 24/10, 70/46, 49/408?

Answer: LCM of Numerators as per given numbers 90/56, 24/10, 70/46, 49/408 is

LCM of Numerators i.e. for 90,24,70,49 is 17640

GCF of denominators i.e. for 56,10,46,408 is 2.

Thus, LCM of Fractions is 8820.Finally, LCM of Fractions for 90/56, 24/10, 70/46, 49/408 is 8820.