Least Common Multiple of 55/66, 156/99, 414/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/66, 156/99, 414/825 quickly i.e. 17940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/66, 156/99, 414/825 is 17940.

LCM(55/66, 156/99, 414/825) = 17940

LCM of 55/66, 156/99, 414/825

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 55/66,156/99,414/825

Given numbers are 55/66,156/99,414/825

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 55,156,414

Least Common Multiple of Numerators i.e. LCM of 55,156,414 is 592020.

GCF of Denominators means GCF of 66,99,825 as per the given fractions.

GCF of 66,99,825 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,156,414

LCM of Fractions 55/66,156/99,414/825 is 17940

2 55, 156, 414
3 55, 78, 207
55, 26, 69

∴ So the LCM of the given numbers is 2 x 3 x 55 x 26 x 69 = 592020

Least Common Multiple of 55,156,414 with GCF Formula

Least Common Multiple of 55,156,414 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 55,156,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,156,414) = 1

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

GCF(55,156,414) x common factors =1 x 6 = 6

LCM(55,156,414) = ( 55 × 156 × 414 ) / 6

LCM(55,156,414) = 3552120 / 6

LCM(55,156,414) = 592020


Lets's calculate GCF of 66,99,825

3 66, 99, 825
11 22, 33, 275
2, 3, 25

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 592020/33

Therefore the LCM of Fractions 55/66,156/99,414/825 is 17940

Greatest Common Factor of 66,99,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,99,825 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 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 66,99,825 . The biggest common factor number is the GCF number.
So the greatest common factor 66,99,825 is 33.


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 55/66, 156/99, 414/825

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 55/66, 156/99, 414/825?

Answer: LCM of Numerators as per given numbers 55/66, 156/99, 414/825 is

LCM of Numerators i.e. for 55,156,414 is 592020

GCF of denominators i.e. for 66,99,825 is 33.

Thus, LCM of Fractions is 17940.Finally, LCM of Fractions for 55/66, 156/99, 414/825 is 17940.