Least Common Multiple of 6980/312, 3381/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6980/312, 3381/306 quickly i.e. 3933230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6980/312, 3381/306 is 3933230.

LCM(6980/312, 3381/306) = 3933230

LCM of 6980/312, 3381/306

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 6980/312,3381/306

Given numbers are 6980/312,3381/306

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 6980,3381

Least Common Multiple of Numerators i.e. LCM of 6980,3381 is 23599380.

GCF of Denominators means GCF of 312,306 as per the given fractions.

GCF of 312,306 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6980,3381

LCM of Fractions 6980/312,3381/306 is 3933230

Given numbers has no common factors except 1. So, there LCM is their product i.e 23599380

Least Common Multiple of 6980,3381 with GCF Formula

Least Common Multiple of 6980,3381 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 6980,3381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6980,3381) = 1

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

GCF(6980,3381) x common factors =1 x 1 = 1

LCM(6980,3381) = ( 6980 × 3381 ) / 1

LCM(6980,3381) = 23599380 / 1

LCM(6980,3381) = 23599380


Lets's calculate GCF of 312,306

2 312, 306
3 156, 153
52, 51

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23599380/6

Therefore the LCM of Fractions 6980/312,3381/306 is 3933230

Greatest Common Factor of 312,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,306 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 312,306 . The biggest common factor number is the GCF number.
So the greatest common factor 312,306 is 6.


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 6980/312, 3381/306

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 6980/312, 3381/306?

Answer: LCM of Numerators as per given numbers 6980/312, 3381/306 is

LCM of Numerators i.e. for 6980,3381 is 23599380

GCF of denominators i.e. for 312,306 is 6.

Thus, LCM of Fractions is 3933230.Finally, LCM of Fractions for 6980/312, 3381/306 is 3933230.