Least Common Multiple of 6976/983, 3735/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6976/983, 3735/606 quickly i.e. 26055360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6976/983, 3735/606 is 26055360.

LCM(6976/983, 3735/606) = 26055360

LCM of 6976/983, 3735/606

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 6976/983,3735/606

Given numbers are 6976/983,3735/606

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 6976,3735

Least Common Multiple of Numerators i.e. LCM of 6976,3735 is 26055360.

GCF of Denominators means GCF of 983,606 as per the given fractions.

GCF of 983,606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6976,3735

LCM of Fractions 6976/983,3735/606 is 26055360

Given numbers has no common factors except 1. So, there LCM is their product i.e 26055360

Least Common Multiple of 6976,3735 with GCF Formula

Least Common Multiple of 6976,3735 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 6976,3735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6976,3735) = 1

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

GCF(6976,3735) x common factors =1 x 1 = 1

LCM(6976,3735) = ( 6976 × 3735 ) / 1

LCM(6976,3735) = 26055360 / 1

LCM(6976,3735) = 26055360


Lets's calculate GCF of 983,606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26055360/1

Therefore the LCM of Fractions 6976/983,3735/606 is 26055360

Greatest Common Factor of 983,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,606 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 983,606 . The biggest common factor number is the GCF number.
So the greatest common factor 983,606 is 1.


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 6976/983, 3735/606

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 6976/983, 3735/606?

Answer: LCM of Numerators as per given numbers 6976/983, 3735/606 is

LCM of Numerators i.e. for 6976,3735 is 26055360

GCF of denominators i.e. for 983,606 is 1.

Thus, LCM of Fractions is 26055360.Finally, LCM of Fractions for 6976/983, 3735/606 is 26055360.