Least Common Multiple of 217/178, 984/894, 838/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/178, 984/894, 838/147 quickly i.e. 89468232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/178, 984/894, 838/147 is 89468232.

LCM(217/178, 984/894, 838/147) = 89468232

LCM of 217/178, 984/894, 838/147

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 217/178,984/894,838/147

Given numbers are 217/178,984/894,838/147

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 217,984,838

Least Common Multiple of Numerators i.e. LCM of 217,984,838 is 89468232.

GCF of Denominators means GCF of 178,894,147 as per the given fractions.

GCF of 178,894,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,984,838

LCM of Fractions 217/178,984/894,838/147 is 89468232

2 217, 984, 838
217, 492, 419

∴ So the LCM of the given numbers is 2 x 217 x 492 x 419 = 89468232

Least Common Multiple of 217,984,838 with GCF Formula

Least Common Multiple of 217,984,838 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 217,984,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,984,838) = 1

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

GCF(217,984,838) x common factors =1 x 2 = 2

LCM(217,984,838) = ( 217 × 984 × 838 ) / 2

LCM(217,984,838) = 178936464 / 2

LCM(217,984,838) = 89468232


Lets's calculate GCF of 178,894,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89468232/1

Therefore the LCM of Fractions 217/178,984/894,838/147 is 89468232

Greatest Common Factor of 178,894,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,894,147 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 178,894,147 . The biggest common factor number is the GCF number.
So the greatest common factor 178,894,147 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 217/178, 984/894, 838/147

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 217/178, 984/894, 838/147?

Answer: LCM of Numerators as per given numbers 217/178, 984/894, 838/147 is

LCM of Numerators i.e. for 217,984,838 is 89468232

GCF of denominators i.e. for 178,894,147 is 1.

Thus, LCM of Fractions is 89468232.Finally, LCM of Fractions for 217/178, 984/894, 838/147 is 89468232.