Least Common Multiple of 53/45, 65/96, 156/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/45, 65/96, 156/282 quickly i.e. 13780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/45, 65/96, 156/282 is 13780.

LCM(53/45, 65/96, 156/282) = 13780

LCM of 53/45, 65/96, 156/282

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 53/45,65/96,156/282

Given numbers are 53/45,65/96,156/282

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 53,65,156

Least Common Multiple of Numerators i.e. LCM of 53,65,156 is 41340.

GCF of Denominators means GCF of 45,96,282 as per the given fractions.

GCF of 45,96,282 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,65,156

LCM of Fractions 53/45,65/96,156/282 is 13780

13 53, 65, 156
53, 5, 12

∴ So the LCM of the given numbers is 13 x 53 x 5 x 12 = 41340

Least Common Multiple of 53,65,156 with GCF Formula

Least Common Multiple of 53,65,156 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 53,65,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,65,156) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(53,65,156) x common factors =1 x 13 = 13

LCM(53,65,156) = ( 53 × 65 × 156 ) / 13

LCM(53,65,156) = 537420 / 13

LCM(53,65,156) = 41340


Lets's calculate GCF of 45,96,282

3 45, 96, 282
15, 32, 94

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41340/3

Therefore the LCM of Fractions 53/45,65/96,156/282 is 13780

Greatest Common Factor of 45,96,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,96,282 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 45,96,282 . The biggest common factor number is the GCF number.
So the greatest common factor 45,96,282 is 3.


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 53/45, 65/96, 156/282

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 53/45, 65/96, 156/282?

Answer: LCM of Numerators as per given numbers 53/45, 65/96, 156/282 is

LCM of Numerators i.e. for 53,65,156 is 41340

GCF of denominators i.e. for 45,96,282 is 3.

Thus, LCM of Fractions is 13780.Finally, LCM of Fractions for 53/45, 65/96, 156/282 is 13780.