Least Common Multiple of 59/68, 549/74, 626/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/68, 549/74, 626/627 quickly i.e. 20276766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/68, 549/74, 626/627 is 20276766.

LCM(59/68, 549/74, 626/627) = 20276766

LCM of 59/68, 549/74, 626/627

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 59/68,549/74,626/627

Given numbers are 59/68,549/74,626/627

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 59,549,626

Least Common Multiple of Numerators i.e. LCM of 59,549,626 is 20276766.

GCF of Denominators means GCF of 68,74,627 as per the given fractions.

GCF of 68,74,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,549,626

LCM of Fractions 59/68,549/74,626/627 is 20276766

Given numbers has no common factors except 1. So, there LCM is their product i.e 20276766

Least Common Multiple of 59,549,626 with GCF Formula

Least Common Multiple of 59,549,626 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 59,549,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,549,626) = 1

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

GCF(59,549,626) x common factors =1 x 1 = 1

LCM(59,549,626) = ( 59 × 549 × 626 ) / 1

LCM(59,549,626) = 20276766 / 1

LCM(59,549,626) = 20276766


Lets's calculate GCF of 68,74,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20276766/1

Therefore the LCM of Fractions 59/68,549/74,626/627 is 20276766

Greatest Common Factor of 68,74,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,74,627 By Matching Biggest Common Factor Method

Factors of 68

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

1,2,4,17,34,68

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

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 68,74,627 . The biggest common factor number is the GCF number.
So the greatest common factor 68,74,627 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 59/68, 549/74, 626/627

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 59/68, 549/74, 626/627?

Answer: LCM of Numerators as per given numbers 59/68, 549/74, 626/627 is

LCM of Numerators i.e. for 59,549,626 is 20276766

GCF of denominators i.e. for 68,74,627 is 1.

Thus, LCM of Fractions is 20276766.Finally, LCM of Fractions for 59/68, 549/74, 626/627 is 20276766.