Least Common Multiple of 2075/168, 1401/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2075/168, 1401/359 quickly i.e. 2907075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2075/168, 1401/359 is 2907075.

LCM(2075/168, 1401/359) = 2907075

LCM of 2075/168, 1401/359

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 2075/168,1401/359

Given numbers are 2075/168,1401/359

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 2075,1401

Least Common Multiple of Numerators i.e. LCM of 2075,1401 is 2907075.

GCF of Denominators means GCF of 168,359 as per the given fractions.

GCF of 168,359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2075,1401

LCM of Fractions 2075/168,1401/359 is 2907075

Given numbers has no common factors except 1. So, there LCM is their product i.e 2907075

Least Common Multiple of 2075,1401 with GCF Formula

Least Common Multiple of 2075,1401 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 2075,1401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2075,1401) = 1

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

GCF(2075,1401) x common factors =1 x 1 = 1

LCM(2075,1401) = ( 2075 × 1401 ) / 1

LCM(2075,1401) = 2907075 / 1

LCM(2075,1401) = 2907075


Lets's calculate GCF of 168,359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2907075/1

Therefore the LCM of Fractions 2075/168,1401/359 is 2907075

Greatest Common Factor of 168,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,359 By Matching Biggest Common Factor Method

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

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 168,359 . The biggest common factor number is the GCF number.
So the greatest common factor 168,359 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 2075/168, 1401/359

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 2075/168, 1401/359?

Answer: LCM of Numerators as per given numbers 2075/168, 1401/359 is

LCM of Numerators i.e. for 2075,1401 is 2907075

GCF of denominators i.e. for 168,359 is 1.

Thus, LCM of Fractions is 2907075.Finally, LCM of Fractions for 2075/168, 1401/359 is 2907075.