Least Common Multiple of 115/54, 850/20, 661/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 115/54, 850/20, 661/660 quickly i.e. 6461275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/54, 850/20, 661/660 is 6461275.

LCM(115/54, 850/20, 661/660) = 6461275

LCM of 115/54, 850/20, 661/660

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 115/54,850/20,661/660

Given numbers are 115/54,850/20,661/660

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 115,850,661

Least Common Multiple of Numerators i.e. LCM of 115,850,661 is 12922550.

GCF of Denominators means GCF of 54,20,660 as per the given fractions.

GCF of 54,20,660 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,850,661

LCM of Fractions 115/54,850/20,661/660 is 6461275

5 115, 850, 661
23, 170, 661

∴ So the LCM of the given numbers is 5 x 23 x 170 x 661 = 12922550

Least Common Multiple of 115,850,661 with GCF Formula

Least Common Multiple of 115,850,661 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 115,850,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,850,661) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(115,850,661) x common factors =1 x 5 = 5

LCM(115,850,661) = ( 115 × 850 × 661 ) / 5

LCM(115,850,661) = 64612750 / 5

LCM(115,850,661) = 12922550


Lets's calculate GCF of 54,20,660

2 54, 20, 660
27, 10, 330

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12922550/2

Therefore the LCM of Fractions 115/54,850/20,661/660 is 6461275

Greatest Common Factor of 54,20,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,20,660 By Matching Biggest Common Factor Method

Factors of 54

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

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

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 54,20,660 . The biggest common factor number is the GCF number.
So the greatest common factor 54,20,660 is 2.


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 115/54, 850/20, 661/660

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 115/54, 850/20, 661/660?

Answer: LCM of Numerators as per given numbers 115/54, 850/20, 661/660 is

LCM of Numerators i.e. for 115,850,661 is 12922550

GCF of denominators i.e. for 54,20,660 is 2.

Thus, LCM of Fractions is 6461275.Finally, LCM of Fractions for 115/54, 850/20, 661/660 is 6461275.