Least Common Multiple of 676/26, 351/4002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/26, 351/4002 quickly i.e. 9126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/26, 351/4002 is 9126.

LCM(676/26, 351/4002) = 9126

LCM of 676/26, 351/4002

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 676/26,351/4002

Given numbers are 676/26,351/4002

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 676,351

Least Common Multiple of Numerators i.e. LCM of 676,351 is 18252.

GCF of Denominators means GCF of 26,4002 as per the given fractions.

GCF of 26,4002 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,351

LCM of Fractions 676/26,351/4002 is 9126

13 676, 351
52, 27

∴ So the LCM of the given numbers is 13 x 52 x 27 = 18252

Least Common Multiple of 676,351 with GCF Formula

Least Common Multiple of 676,351 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 676,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,351) = 13

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

GCF(676,351) x common factors =13 x 1 = 13

LCM(676,351) = ( 676 × 351 ) / 13

LCM(676,351) = 237276 / 13

LCM(676,351) = 18252


Lets's calculate GCF of 26,4002

2 26, 4002
13, 2001

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18252/2

Therefore the LCM of Fractions 676/26,351/4002 is 9126

Greatest Common Factor of 26,4002 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,4002 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 4002

List of positive integer factors of 4002 that divides 4002 without a remainder.

1,2,3,6,23,29,46,58,69,87,138,174,667,1334,2001,4002

Greatest Common Factor

We found the factors 26,4002 . The biggest common factor number is the GCF number.
So the greatest common factor 26,4002 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 676/26, 351/4002

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 676/26, 351/4002?

Answer: LCM of Numerators as per given numbers 676/26, 351/4002 is

LCM of Numerators i.e. for 676,351 is 18252

GCF of denominators i.e. for 26,4002 is 2.

Thus, LCM of Fractions is 9126.Finally, LCM of Fractions for 676/26, 351/4002 is 9126.