Least Common Multiple of 398/77, 780/55, 918/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/77, 780/55, 918/54 quickly i.e. 23748660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/77, 780/55, 918/54 is 23748660.

LCM(398/77, 780/55, 918/54) = 23748660

LCM of 398/77, 780/55, 918/54

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 398/77,780/55,918/54

Given numbers are 398/77,780/55,918/54

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 398,780,918

Least Common Multiple of Numerators i.e. LCM of 398,780,918 is 23748660.

GCF of Denominators means GCF of 77,55,54 as per the given fractions.

GCF of 77,55,54 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,780,918

LCM of Fractions 398/77,780/55,918/54 is 23748660

2 398, 780, 918
3 199, 390, 459
199, 130, 153

∴ So the LCM of the given numbers is 2 x 3 x 199 x 130 x 153 = 23748660

Least Common Multiple of 398,780,918 with GCF Formula

Least Common Multiple of 398,780,918 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 398,780,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,780,918) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(398,780,918) x common factors =2 x 6 = 12

LCM(398,780,918) = ( 398 × 780 × 918 ) / 12

LCM(398,780,918) = 284983920 / 12

LCM(398,780,918) = 23748660


Lets's calculate GCF of 77,55,54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23748660/1

Therefore the LCM of Fractions 398/77,780/55,918/54 is 23748660

Greatest Common Factor of 77,55,54 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,55,54 By Matching Biggest Common Factor Method

Factors of 77

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

1,7,11,77

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Greatest Common Factor

We found the factors 77,55,54 . The biggest common factor number is the GCF number.
So the greatest common factor 77,55,54 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 398/77, 780/55, 918/54

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 398/77, 780/55, 918/54?

Answer: LCM of Numerators as per given numbers 398/77, 780/55, 918/54 is

LCM of Numerators i.e. for 398,780,918 is 23748660

GCF of denominators i.e. for 77,55,54 is 1.

Thus, LCM of Fractions is 23748660.Finally, LCM of Fractions for 398/77, 780/55, 918/54 is 23748660.