Least Common Multiple of 980/345, 7403/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 980/345, 7403/166 quickly i.e. 7254940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/345, 7403/166 is 7254940.

LCM(980/345, 7403/166) = 7254940

LCM of 980/345, 7403/166

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 980/345,7403/166

Given numbers are 980/345,7403/166

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 980,7403

Least Common Multiple of Numerators i.e. LCM of 980,7403 is 7254940.

GCF of Denominators means GCF of 345,166 as per the given fractions.

GCF of 345,166 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,7403

LCM of Fractions 980/345,7403/166 is 7254940

Given numbers has no common factors except 1. So, there LCM is their product i.e 7254940

Least Common Multiple of 980,7403 with GCF Formula

Least Common Multiple of 980,7403 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 980,7403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,7403) = 1

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

GCF(980,7403) x common factors =1 x 1 = 1

LCM(980,7403) = ( 980 × 7403 ) / 1

LCM(980,7403) = 7254940 / 1

LCM(980,7403) = 7254940


Lets's calculate GCF of 345,166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7254940/1

Therefore the LCM of Fractions 980/345,7403/166 is 7254940

Greatest Common Factor of 345,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,166 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 345,166 . The biggest common factor number is the GCF number.
So the greatest common factor 345,166 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 980/345, 7403/166

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 980/345, 7403/166?

Answer: LCM of Numerators as per given numbers 980/345, 7403/166 is

LCM of Numerators i.e. for 980,7403 is 7254940

GCF of denominators i.e. for 345,166 is 1.

Thus, LCM of Fractions is 7254940.Finally, LCM of Fractions for 980/345, 7403/166 is 7254940.