Least Common Multiple of 959/556, 8149/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 959/556, 8149/480 quickly i.e. 7814891/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 959/556, 8149/480 is 7814891/4.

LCM(959/556, 8149/480) = 7814891/4

LCM of 959/556, 8149/480

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 959/556,8149/480

Given numbers are 959/556,8149/480

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 959,8149

Least Common Multiple of Numerators i.e. LCM of 959,8149 is 7814891.

GCF of Denominators means GCF of 556,480 as per the given fractions.

GCF of 556,480 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 959,8149

LCM of Fractions 959/556,8149/480 is 7814891/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 7814891

Least Common Multiple of 959,8149 with GCF Formula

Least Common Multiple of 959,8149 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 959,8149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,8149) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(959,8149) x common factors =1 x 1 = 1

LCM(959,8149) = ( 959 × 8149 ) / 1

LCM(959,8149) = 7814891 / 1

LCM(959,8149) = 7814891


Lets's calculate GCF of 556,480

2 556, 480
2 278, 240
139, 120

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7814891/4

Therefore the LCM of Fractions 959/556,8149/480 is 7814891/4

Greatest Common Factor of 556,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,480 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 556,480 . The biggest common factor number is the GCF number.
So the greatest common factor 556,480 is 4.


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 959/556, 8149/480

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 959/556, 8149/480?

Answer: LCM of Numerators as per given numbers 959/556, 8149/480 is

LCM of Numerators i.e. for 959,8149 is 7814891

GCF of denominators i.e. for 556,480 is 4.

Thus, LCM of Fractions is 7814891/4.Finally, LCM of Fractions for 959/556, 8149/480 is 7814891/4.