Least Common Multiple of 55/71, 50/58, 22/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/71, 50/58, 22/610 quickly i.e. 550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/71, 50/58, 22/610 is 550.

LCM(55/71, 50/58, 22/610) = 550

LCM of 55/71, 50/58, 22/610

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 55/71,50/58,22/610

Given numbers are 55/71,50/58,22/610

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 55,50,22

Least Common Multiple of Numerators i.e. LCM of 55,50,22 is 550.

GCF of Denominators means GCF of 71,58,610 as per the given fractions.

GCF of 71,58,610 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,50,22

LCM of Fractions 55/71,50/58,22/610 is 550

2 55, 50, 22
5 55, 25, 11
11 11, 5, 11
1, 5, 1

∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 5 x 1 = 550

Least Common Multiple of 55,50,22 with GCF Formula

Least Common Multiple of 55,50,22 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 55,50,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,50,22) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(55,50,22) x common factors =1 x 110 = 110

LCM(55,50,22) = ( 55 × 50 × 22 ) / 110

LCM(55,50,22) = 60500 / 110

LCM(55,50,22) = 550


Lets's calculate GCF of 71,58,610

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 550/1

Therefore the LCM of Fractions 55/71,50/58,22/610 is 550

Greatest Common Factor of 71,58,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,58,610 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 71,58,610 . The biggest common factor number is the GCF number.
So the greatest common factor 71,58,610 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 55/71, 50/58, 22/610

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 55/71, 50/58, 22/610?

Answer: LCM of Numerators as per given numbers 55/71, 50/58, 22/610 is

LCM of Numerators i.e. for 55,50,22 is 550

GCF of denominators i.e. for 71,58,610 is 1.

Thus, LCM of Fractions is 550.Finally, LCM of Fractions for 55/71, 50/58, 22/610 is 550.