Least Common Multiple of 676/412, 2929/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/412, 2929/284 quickly i.e. 495001 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/412, 2929/284 is 495001.

LCM(676/412, 2929/284) = 495001

LCM of 676/412, 2929/284

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 676/412,2929/284

Given numbers are 676/412,2929/284

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 676,2929

Least Common Multiple of Numerators i.e. LCM of 676,2929 is 1980004.

GCF of Denominators means GCF of 412,284 as per the given fractions.

GCF of 412,284 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,2929

LCM of Fractions 676/412,2929/284 is 495001

Given numbers has no common factors except 1. So, there LCM is their product i.e 1980004

Least Common Multiple of 676,2929 with GCF Formula

Least Common Multiple of 676,2929 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 676,2929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,2929) = 1

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

GCF(676,2929) x common factors =1 x 1 = 1

LCM(676,2929) = ( 676 × 2929 ) / 1

LCM(676,2929) = 1980004 / 1

LCM(676,2929) = 1980004


Lets's calculate GCF of 412,284

2 412, 284
2 206, 142
103, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1980004/4

Therefore the LCM of Fractions 676/412,2929/284 is 495001

Greatest Common Factor of 412,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,284 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 412,284 . The biggest common factor number is the GCF number.
So the greatest common factor 412,284 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 676/412, 2929/284

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 676/412, 2929/284?

Answer: LCM of Numerators as per given numbers 676/412, 2929/284 is

LCM of Numerators i.e. for 676,2929 is 1980004

GCF of denominators i.e. for 412,284 is 4.

Thus, LCM of Fractions is 495001.Finally, LCM of Fractions for 676/412, 2929/284 is 495001.