Least Common Multiple of 414/74, 153/74, 996/55

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/74, 153/74, 996/55 quickly i.e. 1168308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/74, 153/74, 996/55 is 1168308.

LCM(414/74, 153/74, 996/55) = 1168308

LCM of 414/74, 153/74, 996/55

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 414/74,153/74,996/55

Given numbers are 414/74,153/74,996/55

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 414,153,996

Least Common Multiple of Numerators i.e. LCM of 414,153,996 is 1168308.

GCF of Denominators means GCF of 74,74,55 as per the given fractions.

GCF of 74,74,55 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,153,996

LCM of Fractions 414/74,153/74,996/55 is 1168308

2 414, 153, 996
3 207, 153, 498
3 69, 51, 166
23, 17, 166

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 17 x 166 = 1168308

Least Common Multiple of 414,153,996 with GCF Formula

Least Common Multiple of 414,153,996 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 414,153,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,153,996) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(414,153,996) x common factors =3 x 18 = 54

LCM(414,153,996) = ( 414 × 153 × 996 ) / 54

LCM(414,153,996) = 63088632 / 54

LCM(414,153,996) = 1168308


Lets's calculate GCF of 74,74,55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1168308/1

Therefore the LCM of Fractions 414/74,153/74,996/55 is 1168308

Greatest Common Factor of 74,74,55 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,74,55 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 74

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

1,2,37,74

Factors of 55

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

1,5,11,55

Greatest Common Factor

We found the factors 74,74,55 . The biggest common factor number is the GCF number.
So the greatest common factor 74,74,55 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 414/74, 153/74, 996/55

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 414/74, 153/74, 996/55?

Answer: LCM of Numerators as per given numbers 414/74, 153/74, 996/55 is

LCM of Numerators i.e. for 414,153,996 is 1168308

GCF of denominators i.e. for 74,74,55 is 1.

Thus, LCM of Fractions is 1168308.Finally, LCM of Fractions for 414/74, 153/74, 996/55 is 1168308.