Least Common Multiple of 34/141, 819/216, 113/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/141, 819/216, 113/221 quickly i.e. 3146598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/141, 819/216, 113/221 is 3146598.

LCM(34/141, 819/216, 113/221) = 3146598

LCM of 34/141, 819/216, 113/221

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 34/141,819/216,113/221

Given numbers are 34/141,819/216,113/221

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 34,819,113

Least Common Multiple of Numerators i.e. LCM of 34,819,113 is 3146598.

GCF of Denominators means GCF of 141,216,221 as per the given fractions.

GCF of 141,216,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,819,113

LCM of Fractions 34/141,819/216,113/221 is 3146598

Given numbers has no common factors except 1. So, there LCM is their product i.e 3146598

Least Common Multiple of 34,819,113 with GCF Formula

Least Common Multiple of 34,819,113 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 34,819,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,819,113) = 1

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

GCF(34,819,113) x common factors =1 x 1 = 1

LCM(34,819,113) = ( 34 × 819 × 113 ) / 1

LCM(34,819,113) = 3146598 / 1

LCM(34,819,113) = 3146598


Lets's calculate GCF of 141,216,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3146598/1

Therefore the LCM of Fractions 34/141,819/216,113/221 is 3146598

Greatest Common Factor of 141,216,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,216,221 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 141,216,221 . The biggest common factor number is the GCF number.
So the greatest common factor 141,216,221 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 34/141, 819/216, 113/221

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 34/141, 819/216, 113/221?

Answer: LCM of Numerators as per given numbers 34/141, 819/216, 113/221 is

LCM of Numerators i.e. for 34,819,113 is 3146598

GCF of denominators i.e. for 141,216,221 is 1.

Thus, LCM of Fractions is 3146598.Finally, LCM of Fractions for 34/141, 819/216, 113/221 is 3146598.