Least Common Multiple of 55/31, 58/50, 219/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/31, 58/50, 219/822 quickly i.e. 698610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/31, 58/50, 219/822 is 698610.

LCM(55/31, 58/50, 219/822) = 698610

LCM of 55/31, 58/50, 219/822

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 55/31,58/50,219/822

Given numbers are 55/31,58/50,219/822

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 55,58,219

Least Common Multiple of Numerators i.e. LCM of 55,58,219 is 698610.

GCF of Denominators means GCF of 31,50,822 as per the given fractions.

GCF of 31,50,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,58,219

LCM of Fractions 55/31,58/50,219/822 is 698610

Given numbers has no common factors except 1. So, there LCM is their product i.e 698610

Least Common Multiple of 55,58,219 with GCF Formula

Least Common Multiple of 55,58,219 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 55,58,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,58,219) = 1

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

GCF(55,58,219) x common factors =1 x 1 = 1

LCM(55,58,219) = ( 55 × 58 × 219 ) / 1

LCM(55,58,219) = 698610 / 1

LCM(55,58,219) = 698610


Lets's calculate GCF of 31,50,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 698610/1

Therefore the LCM of Fractions 55/31,58/50,219/822 is 698610

Greatest Common Factor of 31,50,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,50,822 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 31,50,822 . The biggest common factor number is the GCF number.
So the greatest common factor 31,50,822 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 55/31, 58/50, 219/822

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 55/31, 58/50, 219/822?

Answer: LCM of Numerators as per given numbers 55/31, 58/50, 219/822 is

LCM of Numerators i.e. for 55,58,219 is 698610

GCF of denominators i.e. for 31,50,822 is 1.

Thus, LCM of Fractions is 698610.Finally, LCM of Fractions for 55/31, 58/50, 219/822 is 698610.