Least Common Multiple of 819/98, 358/78, 362/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/98, 358/78, 362/627 quickly i.e. 53069562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/98, 358/78, 362/627 is 53069562.

LCM(819/98, 358/78, 362/627) = 53069562

LCM of 819/98, 358/78, 362/627

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 819/98,358/78,362/627

Given numbers are 819/98,358/78,362/627

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 819,358,362

Least Common Multiple of Numerators i.e. LCM of 819,358,362 is 53069562.

GCF of Denominators means GCF of 98,78,627 as per the given fractions.

GCF of 98,78,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,358,362

LCM of Fractions 819/98,358/78,362/627 is 53069562

2 819, 358, 362
819, 179, 181

∴ So the LCM of the given numbers is 2 x 819 x 179 x 181 = 53069562

Least Common Multiple of 819,358,362 with GCF Formula

Least Common Multiple of 819,358,362 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 819,358,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,358,362) = 1

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

GCF(819,358,362) x common factors =1 x 2 = 2

LCM(819,358,362) = ( 819 × 358 × 362 ) / 2

LCM(819,358,362) = 106139124 / 2

LCM(819,358,362) = 53069562


Lets's calculate GCF of 98,78,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53069562/1

Therefore the LCM of Fractions 819/98,358/78,362/627 is 53069562

Greatest Common Factor of 98,78,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,78,627 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 98,78,627 . The biggest common factor number is the GCF number.
So the greatest common factor 98,78,627 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 819/98, 358/78, 362/627

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 819/98, 358/78, 362/627?

Answer: LCM of Numerators as per given numbers 819/98, 358/78, 362/627 is

LCM of Numerators i.e. for 819,358,362 is 53069562

GCF of denominators i.e. for 98,78,627 is 1.

Thus, LCM of Fractions is 53069562.Finally, LCM of Fractions for 819/98, 358/78, 362/627 is 53069562.