Least Common Multiple of 417/51, 627/30, 702/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/51, 627/30, 702/77 quickly i.e. 20393802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/51, 627/30, 702/77 is 20393802.

LCM(417/51, 627/30, 702/77) = 20393802

LCM of 417/51, 627/30, 702/77

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 417/51,627/30,702/77

Given numbers are 417/51,627/30,702/77

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 417,627,702

Least Common Multiple of Numerators i.e. LCM of 417,627,702 is 20393802.

GCF of Denominators means GCF of 51,30,77 as per the given fractions.

GCF of 51,30,77 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,627,702

LCM of Fractions 417/51,627/30,702/77 is 20393802

3 417, 627, 702
139, 209, 234

∴ So the LCM of the given numbers is 3 x 139 x 209 x 234 = 20393802

Least Common Multiple of 417,627,702 with GCF Formula

Least Common Multiple of 417,627,702 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 417,627,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,627,702) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(417,627,702) x common factors =3 x 3 = 9

LCM(417,627,702) = ( 417 × 627 × 702 ) / 9

LCM(417,627,702) = 183544218 / 9

LCM(417,627,702) = 20393802


Lets's calculate GCF of 51,30,77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20393802/1

Therefore the LCM of Fractions 417/51,627/30,702/77 is 20393802

Greatest Common Factor of 51,30,77 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,30,77 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Greatest Common Factor

We found the factors 51,30,77 . The biggest common factor number is the GCF number.
So the greatest common factor 51,30,77 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 417/51, 627/30, 702/77

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 417/51, 627/30, 702/77?

Answer: LCM of Numerators as per given numbers 417/51, 627/30, 702/77 is

LCM of Numerators i.e. for 417,627,702 is 20393802

GCF of denominators i.e. for 51,30,77 is 1.

Thus, LCM of Fractions is 20393802.Finally, LCM of Fractions for 417/51, 627/30, 702/77 is 20393802.