Least Common Multiple of 8126/726, 1000/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8126/726, 1000/237 quickly i.e. 4063000/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8126/726, 1000/237 is 4063000/3.

LCM(8126/726, 1000/237) = 4063000/3

LCM of 8126/726, 1000/237

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 8126/726,1000/237

Given numbers are 8126/726,1000/237

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 8126,1000

Least Common Multiple of Numerators i.e. LCM of 8126,1000 is 4063000.

GCF of Denominators means GCF of 726,237 as per the given fractions.

GCF of 726,237 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8126,1000

LCM of Fractions 8126/726,1000/237 is 4063000/3

2 8126, 1000
4063, 500

∴ So the LCM of the given numbers is 2 x 4063 x 500 = 4063000

Least Common Multiple of 8126,1000 with GCF Formula

Least Common Multiple of 8126,1000 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 8126,1000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8126,1000) = 2

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

GCF(8126,1000) x common factors =2 x 1 = 2

LCM(8126,1000) = ( 8126 × 1000 ) / 2

LCM(8126,1000) = 8126000 / 2

LCM(8126,1000) = 4063000


Lets's calculate GCF of 726,237

3 726, 237
242, 79

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4063000/3

Therefore the LCM of Fractions 8126/726,1000/237 is 4063000/3

Greatest Common Factor of 726,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,237 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 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 726,237 . The biggest common factor number is the GCF number.
So the greatest common factor 726,237 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8126/726, 1000/237

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 8126/726, 1000/237?

Answer: LCM of Numerators as per given numbers 8126/726, 1000/237 is

LCM of Numerators i.e. for 8126,1000 is 4063000

GCF of denominators i.e. for 726,237 is 3.

Thus, LCM of Fractions is 4063000/3.Finally, LCM of Fractions for 8126/726, 1000/237 is 4063000/3.