Least Common Multiple of 83/55, 51/22, 35/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/55, 51/22, 35/825 quickly i.e. 148155/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/55, 51/22, 35/825 is 148155/11.

LCM(83/55, 51/22, 35/825) = 148155/11

LCM of 83/55, 51/22, 35/825

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 83/55,51/22,35/825

Given numbers are 83/55,51/22,35/825

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 83,51,35

Least Common Multiple of Numerators i.e. LCM of 83,51,35 is 148155.

GCF of Denominators means GCF of 55,22,825 as per the given fractions.

GCF of 55,22,825 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,51,35

LCM of Fractions 83/55,51/22,35/825 is 148155/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 148155

Least Common Multiple of 83,51,35 with GCF Formula

Least Common Multiple of 83,51,35 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 83,51,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,51,35) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(83,51,35) x common factors =1 x 1 = 1

LCM(83,51,35) = ( 83 × 51 × 35 ) / 1

LCM(83,51,35) = 148155 / 1

LCM(83,51,35) = 148155


Lets's calculate GCF of 55,22,825

11 55, 22, 825
5, 2, 75

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148155/11

Therefore the LCM of Fractions 83/55,51/22,35/825 is 148155/11

Greatest Common Factor of 55,22,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,22,825 By Matching Biggest Common Factor Method

Factors of 55

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

1,5,11,55

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

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 55,22,825 . The biggest common factor number is the GCF number.
So the greatest common factor 55,22,825 is 11.


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 83/55, 51/22, 35/825

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 83/55, 51/22, 35/825?

Answer: LCM of Numerators as per given numbers 83/55, 51/22, 35/825 is

LCM of Numerators i.e. for 83,51,35 is 148155

GCF of denominators i.e. for 55,22,825 is 11.

Thus, LCM of Fractions is 148155/11.Finally, LCM of Fractions for 83/55, 51/22, 35/825 is 148155/11.