Least Common Multiple of 53/385, 77/283, 312/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/385, 77/283, 312/168 quickly i.e. 1273272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/385, 77/283, 312/168 is 1273272.

LCM(53/385, 77/283, 312/168) = 1273272

LCM of 53/385, 77/283, 312/168

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 53/385,77/283,312/168

Given numbers are 53/385,77/283,312/168

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 53,77,312

Least Common Multiple of Numerators i.e. LCM of 53,77,312 is 1273272.

GCF of Denominators means GCF of 385,283,168 as per the given fractions.

GCF of 385,283,168 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,77,312

LCM of Fractions 53/385,77/283,312/168 is 1273272

Given numbers has no common factors except 1. So, there LCM is their product i.e 1273272

Least Common Multiple of 53,77,312 with GCF Formula

Least Common Multiple of 53,77,312 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 53,77,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,77,312) = 1

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

GCF(53,77,312) x common factors =1 x 1 = 1

LCM(53,77,312) = ( 53 × 77 × 312 ) / 1

LCM(53,77,312) = 1273272 / 1

LCM(53,77,312) = 1273272


Lets's calculate GCF of 385,283,168

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1273272/1

Therefore the LCM of Fractions 53/385,77/283,312/168 is 1273272

Greatest Common Factor of 385,283,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,283,168 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 385,283,168 . The biggest common factor number is the GCF number.
So the greatest common factor 385,283,168 is 1.


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 53/385, 77/283, 312/168

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 53/385, 77/283, 312/168?

Answer: LCM of Numerators as per given numbers 53/385, 77/283, 312/168 is

LCM of Numerators i.e. for 53,77,312 is 1273272

GCF of denominators i.e. for 385,283,168 is 1.

Thus, LCM of Fractions is 1273272.Finally, LCM of Fractions for 53/385, 77/283, 312/168 is 1273272.