Least Common Multiple of 167/980, 421/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 167/980, 421/339 quickly i.e. 70307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 167/980, 421/339 is 70307.

LCM(167/980, 421/339) = 70307

LCM of 167/980, 421/339

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 167/980,421/339

Given numbers are 167/980,421/339

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 167,421

Least Common Multiple of Numerators i.e. LCM of 167,421 is 70307.

GCF of Denominators means GCF of 980,339 as per the given fractions.

GCF of 980,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 167,421

LCM of Fractions 167/980,421/339 is 70307

Given numbers has no common factors except 1. So, there LCM is their product i.e 70307

Least Common Multiple of 167,421 with GCF Formula

Least Common Multiple of 167,421 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 167,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,421) = 1

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

GCF(167,421) x common factors =1 x 1 = 1

LCM(167,421) = ( 167 × 421 ) / 1

LCM(167,421) = 70307 / 1

LCM(167,421) = 70307


Lets's calculate GCF of 980,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70307/1

Therefore the LCM of Fractions 167/980,421/339 is 70307

Greatest Common Factor of 980,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,339 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 980,339 . The biggest common factor number is the GCF number.
So the greatest common factor 980,339 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 167/980, 421/339

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 167/980, 421/339?

Answer: LCM of Numerators as per given numbers 167/980, 421/339 is

LCM of Numerators i.e. for 167,421 is 70307

GCF of denominators i.e. for 980,339 is 1.

Thus, LCM of Fractions is 70307.Finally, LCM of Fractions for 167/980, 421/339 is 70307.