Least Common Multiple of 293/56, 200/68, 647/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/56, 200/68, 647/322 quickly i.e. 18957100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/56, 200/68, 647/322 is 18957100.

LCM(293/56, 200/68, 647/322) = 18957100

LCM of 293/56, 200/68, 647/322

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 293/56,200/68,647/322

Given numbers are 293/56,200/68,647/322

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 293,200,647

Least Common Multiple of Numerators i.e. LCM of 293,200,647 is 37914200.

GCF of Denominators means GCF of 56,68,322 as per the given fractions.

GCF of 56,68,322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,200,647

LCM of Fractions 293/56,200/68,647/322 is 18957100

Given numbers has no common factors except 1. So, there LCM is their product i.e 37914200

Least Common Multiple of 293,200,647 with GCF Formula

Least Common Multiple of 293,200,647 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 293,200,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,200,647) = 1

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

GCF(293,200,647) x common factors =1 x 1 = 1

LCM(293,200,647) = ( 293 × 200 × 647 ) / 1

LCM(293,200,647) = 37914200 / 1

LCM(293,200,647) = 37914200


Lets's calculate GCF of 56,68,322

2 56, 68, 322
28, 34, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37914200/2

Therefore the LCM of Fractions 293/56,200/68,647/322 is 18957100

Greatest Common Factor of 56,68,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,68,322 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 56,68,322 . The biggest common factor number is the GCF number.
So the greatest common factor 56,68,322 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 293/56, 200/68, 647/322

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 293/56, 200/68, 647/322?

Answer: LCM of Numerators as per given numbers 293/56, 200/68, 647/322 is

LCM of Numerators i.e. for 293,200,647 is 37914200

GCF of denominators i.e. for 56,68,322 is 2.

Thus, LCM of Fractions is 18957100.Finally, LCM of Fractions for 293/56, 200/68, 647/322 is 18957100.