Least Common Multiple of 7462/68, 2378/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7462/68, 2378/796 quickly i.e. 216398/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7462/68, 2378/796 is 216398/4.

LCM(7462/68, 2378/796) = 216398/4

LCM of 7462/68, 2378/796

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 7462/68,2378/796

Given numbers are 7462/68,2378/796

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 7462,2378

Least Common Multiple of Numerators i.e. LCM of 7462,2378 is 216398.

GCF of Denominators means GCF of 68,796 as per the given fractions.

GCF of 68,796 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7462,2378

LCM of Fractions 7462/68,2378/796 is 216398/4

2 7462, 2378
41 3731, 1189
91, 29

∴ So the LCM of the given numbers is 2 x 41 x 91 x 29 = 216398

Least Common Multiple of 7462,2378 with GCF Formula

Least Common Multiple of 7462,2378 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 7462,2378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7462,2378) = 82

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

GCF(7462,2378) x common factors =82 x 1 = 82

LCM(7462,2378) = ( 7462 × 2378 ) / 82

LCM(7462,2378) = 17744636 / 82

LCM(7462,2378) = 216398


Lets's calculate GCF of 68,796

2 68, 796
2 34, 398
17, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216398/4

Therefore the LCM of Fractions 7462/68,2378/796 is 216398/4

Greatest Common Factor of 68,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,796 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 68,796 . The biggest common factor number is the GCF number.
So the greatest common factor 68,796 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 7462/68, 2378/796

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 7462/68, 2378/796?

Answer: LCM of Numerators as per given numbers 7462/68, 2378/796 is

LCM of Numerators i.e. for 7462,2378 is 216398

GCF of denominators i.e. for 68,796 is 4.

Thus, LCM of Fractions is 216398/4.Finally, LCM of Fractions for 7462/68, 2378/796 is 216398/4.