Least Common Multiple of 302/14, 167/2960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 302/14, 167/2960 quickly i.e. 25217 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/14, 167/2960 is 25217.

LCM(302/14, 167/2960) = 25217

LCM of 302/14, 167/2960

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 302/14,167/2960

Given numbers are 302/14,167/2960

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 302,167

Least Common Multiple of Numerators i.e. LCM of 302,167 is 50434.

GCF of Denominators means GCF of 14,2960 as per the given fractions.

GCF of 14,2960 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,167

LCM of Fractions 302/14,167/2960 is 25217

Given numbers has no common factors except 1. So, there LCM is their product i.e 50434

Least Common Multiple of 302,167 with GCF Formula

Least Common Multiple of 302,167 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 302,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,167) = 1

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

GCF(302,167) x common factors =1 x 1 = 1

LCM(302,167) = ( 302 × 167 ) / 1

LCM(302,167) = 50434 / 1

LCM(302,167) = 50434


Lets's calculate GCF of 14,2960

2 14, 2960
7, 1480

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50434/2

Therefore the LCM of Fractions 302/14,167/2960 is 25217

Greatest Common Factor of 14,2960 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,2960 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 2960

List of positive integer factors of 2960 that divides 2960 without a remainder.

1,2,4,5,8,10,16,20,37,40,74,80,148,185,296,370,592,740,1480,2960

Greatest Common Factor

We found the factors 14,2960 . The biggest common factor number is the GCF number.
So the greatest common factor 14,2960 is 2.


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 302/14, 167/2960

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 302/14, 167/2960?

Answer: LCM of Numerators as per given numbers 302/14, 167/2960 is

LCM of Numerators i.e. for 302,167 is 50434

GCF of denominators i.e. for 14,2960 is 2.

Thus, LCM of Fractions is 25217.Finally, LCM of Fractions for 302/14, 167/2960 is 25217.