Least Common Multiple of 343/34, 215/22, 903/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/34, 215/22, 903/770 quickly i.e. 221235/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/34, 215/22, 903/770 is 221235/2.

LCM(343/34, 215/22, 903/770) = 221235/2

LCM of 343/34, 215/22, 903/770

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 343/34,215/22,903/770

Given numbers are 343/34,215/22,903/770

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 343,215,903

Least Common Multiple of Numerators i.e. LCM of 343,215,903 is 221235.

GCF of Denominators means GCF of 34,22,770 as per the given fractions.

GCF of 34,22,770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,215,903

LCM of Fractions 343/34,215/22,903/770 is 221235/2

7 343, 215, 903
43 49, 215, 129
49, 5, 3

∴ So the LCM of the given numbers is 7 x 43 x 49 x 5 x 3 = 221235

Least Common Multiple of 343,215,903 with GCF Formula

Least Common Multiple of 343,215,903 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 343,215,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,215,903) = 1

common factors(in case of two or more numbers have common factors) = 301

GCF(343,215,903) x common factors =1 x 301 = 301

LCM(343,215,903) = ( 343 × 215 × 903 ) / 301

LCM(343,215,903) = 66591735 / 301

LCM(343,215,903) = 221235


Lets's calculate GCF of 34,22,770

2 34, 22, 770
17, 11, 385

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221235/2

Therefore the LCM of Fractions 343/34,215/22,903/770 is 221235/2

Greatest Common Factor of 34,22,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,22,770 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 22

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

1,2,11,22

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 34,22,770 . The biggest common factor number is the GCF number.
So the greatest common factor 34,22,770 is 2.


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 343/34, 215/22, 903/770

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 343/34, 215/22, 903/770?

Answer: LCM of Numerators as per given numbers 343/34, 215/22, 903/770 is

LCM of Numerators i.e. for 343,215,903 is 221235

GCF of denominators i.e. for 34,22,770 is 2.

Thus, LCM of Fractions is 221235/2.Finally, LCM of Fractions for 343/34, 215/22, 903/770 is 221235/2.