Least Common Multiple of 8262/36, 1506/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8262/36, 1506/478 quickly i.e. 1036881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8262/36, 1506/478 is 1036881.

LCM(8262/36, 1506/478) = 1036881

LCM of 8262/36, 1506/478

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 8262/36,1506/478

Given numbers are 8262/36,1506/478

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 8262,1506

Least Common Multiple of Numerators i.e. LCM of 8262,1506 is 2073762.

GCF of Denominators means GCF of 36,478 as per the given fractions.

GCF of 36,478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8262,1506

LCM of Fractions 8262/36,1506/478 is 1036881

2 8262, 1506
3 4131, 753
1377, 251

∴ So the LCM of the given numbers is 2 x 3 x 1377 x 251 = 2073762

Least Common Multiple of 8262,1506 with GCF Formula

Least Common Multiple of 8262,1506 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 8262,1506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8262,1506) = 6

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

GCF(8262,1506) x common factors =6 x 1 = 6

LCM(8262,1506) = ( 8262 × 1506 ) / 6

LCM(8262,1506) = 12442572 / 6

LCM(8262,1506) = 2073762


Lets's calculate GCF of 36,478

2 36, 478
18, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2073762/2

Therefore the LCM of Fractions 8262/36,1506/478 is 1036881

Greatest Common Factor of 36,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,478 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 36,478 . The biggest common factor number is the GCF number.
So the greatest common factor 36,478 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 8262/36, 1506/478

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 8262/36, 1506/478?

Answer: LCM of Numerators as per given numbers 8262/36, 1506/478 is

LCM of Numerators i.e. for 8262,1506 is 2073762

GCF of denominators i.e. for 36,478 is 2.

Thus, LCM of Fractions is 1036881.Finally, LCM of Fractions for 8262/36, 1506/478 is 1036881.