Least Common Multiple of 45/66, 48/52, 434/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/66, 48/52, 434/411 quickly i.e. 156240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/66, 48/52, 434/411 is 156240.

LCM(45/66, 48/52, 434/411) = 156240

LCM of 45/66, 48/52, 434/411

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 45/66,48/52,434/411

Given numbers are 45/66,48/52,434/411

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 45,48,434

Least Common Multiple of Numerators i.e. LCM of 45,48,434 is 156240.

GCF of Denominators means GCF of 66,52,411 as per the given fractions.

GCF of 66,52,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,48,434

LCM of Fractions 45/66,48/52,434/411 is 156240

2 45, 48, 434
3 45, 24, 217
15, 8, 217

∴ So the LCM of the given numbers is 2 x 3 x 15 x 8 x 217 = 156240

Least Common Multiple of 45,48,434 with GCF Formula

Least Common Multiple of 45,48,434 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 45,48,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,48,434) = 1

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

GCF(45,48,434) x common factors =1 x 6 = 6

LCM(45,48,434) = ( 45 × 48 × 434 ) / 6

LCM(45,48,434) = 937440 / 6

LCM(45,48,434) = 156240


Lets's calculate GCF of 66,52,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156240/1

Therefore the LCM of Fractions 45/66,48/52,434/411 is 156240

Greatest Common Factor of 66,52,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,52,411 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 66,52,411 . The biggest common factor number is the GCF number.
So the greatest common factor 66,52,411 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 45/66, 48/52, 434/411

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 45/66, 48/52, 434/411?

Answer: LCM of Numerators as per given numbers 45/66, 48/52, 434/411 is

LCM of Numerators i.e. for 45,48,434 is 156240

GCF of denominators i.e. for 66,52,411 is 1.

Thus, LCM of Fractions is 156240.Finally, LCM of Fractions for 45/66, 48/52, 434/411 is 156240.