Least Common Multiple of 34/642, 207/360, 968/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/642, 207/360, 968/983 quickly i.e. 3406392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/642, 207/360, 968/983 is 3406392.

LCM(34/642, 207/360, 968/983) = 3406392

LCM of 34/642, 207/360, 968/983

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 34/642,207/360,968/983

Given numbers are 34/642,207/360,968/983

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 34,207,968

Least Common Multiple of Numerators i.e. LCM of 34,207,968 is 3406392.

GCF of Denominators means GCF of 642,360,983 as per the given fractions.

GCF of 642,360,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,207,968

LCM of Fractions 34/642,207/360,968/983 is 3406392

2 34, 207, 968
17, 207, 484

∴ So the LCM of the given numbers is 2 x 17 x 207 x 484 = 3406392

Least Common Multiple of 34,207,968 with GCF Formula

Least Common Multiple of 34,207,968 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 34,207,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,207,968) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,207,968) x common factors =1 x 2 = 2

LCM(34,207,968) = ( 34 × 207 × 968 ) / 2

LCM(34,207,968) = 6812784 / 2

LCM(34,207,968) = 3406392


Lets's calculate GCF of 642,360,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3406392/1

Therefore the LCM of Fractions 34/642,207/360,968/983 is 3406392

Greatest Common Factor of 642,360,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,360,983 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 983

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

1,983

Greatest Common Factor

We found the factors 642,360,983 . The biggest common factor number is the GCF number.
So the greatest common factor 642,360,983 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 34/642, 207/360, 968/983

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 34/642, 207/360, 968/983?

Answer: LCM of Numerators as per given numbers 34/642, 207/360, 968/983 is

LCM of Numerators i.e. for 34,207,968 is 3406392

GCF of denominators i.e. for 642,360,983 is 1.

Thus, LCM of Fractions is 3406392.Finally, LCM of Fractions for 34/642, 207/360, 968/983 is 3406392.