Least Common Multiple of 80/346, 7989/1956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/346, 7989/1956 quickly i.e. 319560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/346, 7989/1956 is 319560.

LCM(80/346, 7989/1956) = 319560

LCM of 80/346, 7989/1956

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 80/346,7989/1956

Given numbers are 80/346,7989/1956

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 80,7989

Least Common Multiple of Numerators i.e. LCM of 80,7989 is 639120.

GCF of Denominators means GCF of 346,1956 as per the given fractions.

GCF of 346,1956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,7989

LCM of Fractions 80/346,7989/1956 is 319560

Given numbers has no common factors except 1. So, there LCM is their product i.e 639120

Least Common Multiple of 80,7989 with GCF Formula

Least Common Multiple of 80,7989 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 80,7989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,7989) = 1

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

GCF(80,7989) x common factors =1 x 1 = 1

LCM(80,7989) = ( 80 × 7989 ) / 1

LCM(80,7989) = 639120 / 1

LCM(80,7989) = 639120


Lets's calculate GCF of 346,1956

2 346, 1956
173, 978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 639120/2

Therefore the LCM of Fractions 80/346,7989/1956 is 319560

Greatest Common Factor of 346,1956 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,1956 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 1956

List of positive integer factors of 1956 that divides 1956 without a remainder.

1,2,3,4,6,12,163,326,489,652,978,1956

Greatest Common Factor

We found the factors 346,1956 . The biggest common factor number is the GCF number.
So the greatest common factor 346,1956 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 80/346, 7989/1956

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 80/346, 7989/1956?

Answer: LCM of Numerators as per given numbers 80/346, 7989/1956 is

LCM of Numerators i.e. for 80,7989 is 639120

GCF of denominators i.e. for 346,1956 is 2.

Thus, LCM of Fractions is 319560.Finally, LCM of Fractions for 80/346, 7989/1956 is 319560.