Least Common Multiple of 536/66, 1912/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 536/66, 1912/286 quickly i.e. 128104/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 536/66, 1912/286 is 128104/22.

LCM(536/66, 1912/286) = 128104/22

LCM of 536/66, 1912/286

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 536/66,1912/286

Given numbers are 536/66,1912/286

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 536,1912

Least Common Multiple of Numerators i.e. LCM of 536,1912 is 128104.

GCF of Denominators means GCF of 66,286 as per the given fractions.

GCF of 66,286 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 536,1912

LCM of Fractions 536/66,1912/286 is 128104/22

2 536, 1912
2 268, 956
2 134, 478
67, 239

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 239 = 128104

Least Common Multiple of 536,1912 with GCF Formula

Least Common Multiple of 536,1912 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 536,1912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,1912) = 8

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

GCF(536,1912) x common factors =8 x 1 = 8

LCM(536,1912) = ( 536 × 1912 ) / 8

LCM(536,1912) = 1024832 / 8

LCM(536,1912) = 128104


Lets's calculate GCF of 66,286

2 66, 286
11 33, 143
3, 13

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128104/22

Therefore the LCM of Fractions 536/66,1912/286 is 128104/22

Greatest Common Factor of 66,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,286 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 66,286 . The biggest common factor number is the GCF number.
So the greatest common factor 66,286 is 22.


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 536/66, 1912/286

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 536/66, 1912/286?

Answer: LCM of Numerators as per given numbers 536/66, 1912/286 is

LCM of Numerators i.e. for 536,1912 is 128104

GCF of denominators i.e. for 66,286 is 22.

Thus, LCM of Fractions is 128104/22.Finally, LCM of Fractions for 536/66, 1912/286 is 128104/22.