Least Common Multiple of 282/676, 9904/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 282/676, 9904/130 quickly i.e. 1396464/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 282/676, 9904/130 is 1396464/26.

LCM(282/676, 9904/130) = 1396464/26

LCM of 282/676, 9904/130

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 282/676,9904/130

Given numbers are 282/676,9904/130

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 282,9904

Least Common Multiple of Numerators i.e. LCM of 282,9904 is 1396464.

GCF of Denominators means GCF of 676,130 as per the given fractions.

GCF of 676,130 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 282,9904

LCM of Fractions 282/676,9904/130 is 1396464/26

2 282, 9904
141, 4952

∴ So the LCM of the given numbers is 2 x 141 x 4952 = 1396464

Least Common Multiple of 282,9904 with GCF Formula

Least Common Multiple of 282,9904 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 282,9904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,9904) = 2

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

GCF(282,9904) x common factors =2 x 1 = 2

LCM(282,9904) = ( 282 × 9904 ) / 2

LCM(282,9904) = 2792928 / 2

LCM(282,9904) = 1396464


Lets's calculate GCF of 676,130

2 676, 130
13 338, 65
26, 5

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1396464/26

Therefore the LCM of Fractions 282/676,9904/130 is 1396464/26

Greatest Common Factor of 676,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,130 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 676,130 . The biggest common factor number is the GCF number.
So the greatest common factor 676,130 is 26.


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 282/676, 9904/130

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 282/676, 9904/130?

Answer: LCM of Numerators as per given numbers 282/676, 9904/130 is

LCM of Numerators i.e. for 282,9904 is 1396464

GCF of denominators i.e. for 676,130 is 26.

Thus, LCM of Fractions is 1396464/26.Finally, LCM of Fractions for 282/676, 9904/130 is 1396464/26.