Least Common Multiple of 68/280, 1378/5246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/280, 1378/5246 quickly i.e. 23426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/280, 1378/5246 is 23426.

LCM(68/280, 1378/5246) = 23426

LCM of 68/280, 1378/5246

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 68/280,1378/5246

Given numbers are 68/280,1378/5246

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 68,1378

Least Common Multiple of Numerators i.e. LCM of 68,1378 is 46852.

GCF of Denominators means GCF of 280,5246 as per the given fractions.

GCF of 280,5246 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,1378

LCM of Fractions 68/280,1378/5246 is 23426

2 68, 1378
34, 689

∴ So the LCM of the given numbers is 2 x 34 x 689 = 46852

Least Common Multiple of 68,1378 with GCF Formula

Least Common Multiple of 68,1378 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 68,1378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,1378) = 2

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

GCF(68,1378) x common factors =2 x 1 = 2

LCM(68,1378) = ( 68 × 1378 ) / 2

LCM(68,1378) = 93704 / 2

LCM(68,1378) = 46852


Lets's calculate GCF of 280,5246

2 280, 5246
140, 2623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46852/2

Therefore the LCM of Fractions 68/280,1378/5246 is 23426

Greatest Common Factor of 280,5246 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,5246 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 5246

List of positive integer factors of 5246 that divides 5246 without a remainder.

1,2,43,61,86,122,2623,5246

Greatest Common Factor

We found the factors 280,5246 . The biggest common factor number is the GCF number.
So the greatest common factor 280,5246 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 68/280, 1378/5246

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 68/280, 1378/5246?

Answer: LCM of Numerators as per given numbers 68/280, 1378/5246 is

LCM of Numerators i.e. for 68,1378 is 46852

GCF of denominators i.e. for 280,5246 is 2.

Thus, LCM of Fractions is 23426.Finally, LCM of Fractions for 68/280, 1378/5246 is 23426.