Least Common Multiple of 68/726, 6238/8764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/726, 6238/8764 quickly i.e. 106046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/726, 6238/8764 is 106046.

LCM(68/726, 6238/8764) = 106046

LCM of 68/726, 6238/8764

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 68/726,6238/8764

Given numbers are 68/726,6238/8764

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 68,6238

Least Common Multiple of Numerators i.e. LCM of 68,6238 is 212092.

GCF of Denominators means GCF of 726,8764 as per the given fractions.

GCF of 726,8764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,6238

LCM of Fractions 68/726,6238/8764 is 106046

2 68, 6238
34, 3119

∴ So the LCM of the given numbers is 2 x 34 x 3119 = 212092

Least Common Multiple of 68,6238 with GCF Formula

Least Common Multiple of 68,6238 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 68,6238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,6238) = 2

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

GCF(68,6238) x common factors =2 x 1 = 2

LCM(68,6238) = ( 68 × 6238 ) / 2

LCM(68,6238) = 424184 / 2

LCM(68,6238) = 212092


Lets's calculate GCF of 726,8764

2 726, 8764
363, 4382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212092/2

Therefore the LCM of Fractions 68/726,6238/8764 is 106046

Greatest Common Factor of 726,8764 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,8764 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 8764

List of positive integer factors of 8764 that divides 8764 without a remainder.

1,2,4,7,14,28,313,626,1252,2191,4382,8764

Greatest Common Factor

We found the factors 726,8764 . The biggest common factor number is the GCF number.
So the greatest common factor 726,8764 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 68/726, 6238/8764

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 68/726, 6238/8764?

Answer: LCM of Numerators as per given numbers 68/726, 6238/8764 is

LCM of Numerators i.e. for 68,6238 is 212092

GCF of denominators i.e. for 726,8764 is 2.

Thus, LCM of Fractions is 106046.Finally, LCM of Fractions for 68/726, 6238/8764 is 106046.