Least Common Multiple of 343/22, 117/38, 505/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/22, 117/38, 505/251 quickly i.e. 20266155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/22, 117/38, 505/251 is 20266155.

LCM(343/22, 117/38, 505/251) = 20266155

LCM of 343/22, 117/38, 505/251

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 343/22,117/38,505/251

Given numbers are 343/22,117/38,505/251

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 343,117,505

Least Common Multiple of Numerators i.e. LCM of 343,117,505 is 20266155.

GCF of Denominators means GCF of 22,38,251 as per the given fractions.

GCF of 22,38,251 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,117,505

LCM of Fractions 343/22,117/38,505/251 is 20266155

Given numbers has no common factors except 1. So, there LCM is their product i.e 20266155

Least Common Multiple of 343,117,505 with GCF Formula

Least Common Multiple of 343,117,505 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 343,117,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,117,505) = 1

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

GCF(343,117,505) x common factors =1 x 1 = 1

LCM(343,117,505) = ( 343 × 117 × 505 ) / 1

LCM(343,117,505) = 20266155 / 1

LCM(343,117,505) = 20266155


Lets's calculate GCF of 22,38,251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20266155/1

Therefore the LCM of Fractions 343/22,117/38,505/251 is 20266155

Greatest Common Factor of 22,38,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,38,251 By Matching Biggest Common Factor Method

Factors of 22

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

1,2,11,22

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 22,38,251 . The biggest common factor number is the GCF number.
So the greatest common factor 22,38,251 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 343/22, 117/38, 505/251

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 343/22, 117/38, 505/251?

Answer: LCM of Numerators as per given numbers 343/22, 117/38, 505/251 is

LCM of Numerators i.e. for 343,117,505 is 20266155

GCF of denominators i.e. for 22,38,251 is 1.

Thus, LCM of Fractions is 20266155.Finally, LCM of Fractions for 343/22, 117/38, 505/251 is 20266155.