Least Common Multiple of 7738/262, 7476/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7738/262, 7476/612 quickly i.e. 14462322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7738/262, 7476/612 is 14462322.

LCM(7738/262, 7476/612) = 14462322

LCM of 7738/262, 7476/612

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 7738/262,7476/612

Given numbers are 7738/262,7476/612

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 7738,7476

Least Common Multiple of Numerators i.e. LCM of 7738,7476 is 28924644.

GCF of Denominators means GCF of 262,612 as per the given fractions.

GCF of 262,612 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7738,7476

LCM of Fractions 7738/262,7476/612 is 14462322

2 7738, 7476
3869, 3738

∴ So the LCM of the given numbers is 2 x 3869 x 3738 = 28924644

Least Common Multiple of 7738,7476 with GCF Formula

Least Common Multiple of 7738,7476 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 7738,7476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7738,7476) = 2

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

GCF(7738,7476) x common factors =2 x 1 = 2

LCM(7738,7476) = ( 7738 × 7476 ) / 2

LCM(7738,7476) = 57849288 / 2

LCM(7738,7476) = 28924644


Lets's calculate GCF of 262,612

2 262, 612
131, 306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28924644/2

Therefore the LCM of Fractions 7738/262,7476/612 is 14462322

Greatest Common Factor of 262,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,612 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 262,612 . The biggest common factor number is the GCF number.
So the greatest common factor 262,612 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 7738/262, 7476/612

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 7738/262, 7476/612?

Answer: LCM of Numerators as per given numbers 7738/262, 7476/612 is

LCM of Numerators i.e. for 7738,7476 is 28924644

GCF of denominators i.e. for 262,612 is 2.

Thus, LCM of Fractions is 14462322.Finally, LCM of Fractions for 7738/262, 7476/612 is 14462322.