Least Common Multiple of 78/198, 85/494, 890/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/198, 85/494, 890/629 quickly i.e. 590070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/198, 85/494, 890/629 is 590070.

LCM(78/198, 85/494, 890/629) = 590070

LCM of 78/198, 85/494, 890/629

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 78/198,85/494,890/629

Given numbers are 78/198,85/494,890/629

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 78,85,890

Least Common Multiple of Numerators i.e. LCM of 78,85,890 is 590070.

GCF of Denominators means GCF of 198,494,629 as per the given fractions.

GCF of 198,494,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,85,890

LCM of Fractions 78/198,85/494,890/629 is 590070

2 78, 85, 890
5 39, 85, 445
39, 17, 89

∴ So the LCM of the given numbers is 2 x 5 x 39 x 17 x 89 = 590070

Least Common Multiple of 78,85,890 with GCF Formula

Least Common Multiple of 78,85,890 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 78,85,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,85,890) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(78,85,890) x common factors =1 x 10 = 10

LCM(78,85,890) = ( 78 × 85 × 890 ) / 10

LCM(78,85,890) = 5900700 / 10

LCM(78,85,890) = 590070


Lets's calculate GCF of 198,494,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 590070/1

Therefore the LCM of Fractions 78/198,85/494,890/629 is 590070

Greatest Common Factor of 198,494,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,494,629 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 198,494,629 . The biggest common factor number is the GCF number.
So the greatest common factor 198,494,629 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 78/198, 85/494, 890/629

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 78/198, 85/494, 890/629?

Answer: LCM of Numerators as per given numbers 78/198, 85/494, 890/629 is

LCM of Numerators i.e. for 78,85,890 is 590070

GCF of denominators i.e. for 198,494,629 is 1.

Thus, LCM of Fractions is 590070.Finally, LCM of Fractions for 78/198, 85/494, 890/629 is 590070.