Least Common Multiple of 56/10, 98/408, 360/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/10, 98/408, 360/990 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 56/10, 98/408, 360/990 is 8820.

LCM(56/10, 98/408, 360/990) = 8820

LCM of 56/10, 98/408, 360/990

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 56/10,98/408,360/990

Given numbers are 56/10,98/408,360/990

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 56,98,360

Least Common Multiple of Numerators i.e. LCM of 56,98,360 is 17640.

GCF of Denominators means GCF of 10,408,990 as per the given fractions.

GCF of 10,408,990 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,98,360

LCM of Fractions 56/10,98/408,360/990 is 8820

2 56, 98, 360
2 28, 49, 180
2 14, 49, 90
7 7, 49, 45
1, 7, 45

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 7 x 45 = 17640

Least Common Multiple of 56,98,360 with GCF Formula

Least Common Multiple of 56,98,360 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 56,98,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,98,360) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(56,98,360) x common factors =2 x 56 = 112

LCM(56,98,360) = ( 56 × 98 × 360 ) / 112

LCM(56,98,360) = 1975680 / 112

LCM(56,98,360) = 17640


Lets's calculate GCF of 10,408,990

2 10, 408, 990
5, 204, 495

∴ 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 56/10,98/408,360/990 is 8820

Greatest Common Factor of 10,408,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,408,990 By Matching Biggest Common Factor Method

Factors of 10

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

1,2,5,10

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

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 10,408,990 . The biggest common factor number is the GCF number.
So the greatest common factor 10,408,990 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 56/10, 98/408, 360/990

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 56/10, 98/408, 360/990?

Answer: LCM of Numerators as per given numbers 56/10, 98/408, 360/990 is

LCM of Numerators i.e. for 56,98,360 is 17640

GCF of denominators i.e. for 10,408,990 is 2.

Thus, LCM of Fractions is 8820.Finally, LCM of Fractions for 56/10, 98/408, 360/990 is 8820.