Least Common Multiple of 53/165, 143/142, 175/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/165, 143/142, 175/672 quickly i.e. 1326325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/165, 143/142, 175/672 is 1326325.

LCM(53/165, 143/142, 175/672) = 1326325

LCM of 53/165, 143/142, 175/672

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 53/165,143/142,175/672

Given numbers are 53/165,143/142,175/672

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 53,143,175

Least Common Multiple of Numerators i.e. LCM of 53,143,175 is 1326325.

GCF of Denominators means GCF of 165,142,672 as per the given fractions.

GCF of 165,142,672 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,143,175

LCM of Fractions 53/165,143/142,175/672 is 1326325

Given numbers has no common factors except 1. So, there LCM is their product i.e 1326325

Least Common Multiple of 53,143,175 with GCF Formula

Least Common Multiple of 53,143,175 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 53,143,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,143,175) = 1

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

GCF(53,143,175) x common factors =1 x 1 = 1

LCM(53,143,175) = ( 53 × 143 × 175 ) / 1

LCM(53,143,175) = 1326325 / 1

LCM(53,143,175) = 1326325


Lets's calculate GCF of 165,142,672

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1326325/1

Therefore the LCM of Fractions 53/165,143/142,175/672 is 1326325

Greatest Common Factor of 165,142,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,142,672 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 165,142,672 . The biggest common factor number is the GCF number.
So the greatest common factor 165,142,672 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 53/165, 143/142, 175/672

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 53/165, 143/142, 175/672?

Answer: LCM of Numerators as per given numbers 53/165, 143/142, 175/672 is

LCM of Numerators i.e. for 53,143,175 is 1326325

GCF of denominators i.e. for 165,142,672 is 1.

Thus, LCM of Fractions is 1326325.Finally, LCM of Fractions for 53/165, 143/142, 175/672 is 1326325.