Least Common Multiple of 343/79, 695/35, 821/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/79, 695/35, 821/258 quickly i.e. 195714085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/79, 695/35, 821/258 is 195714085.

LCM(343/79, 695/35, 821/258) = 195714085

LCM of 343/79, 695/35, 821/258

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 343/79,695/35,821/258

Given numbers are 343/79,695/35,821/258

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 343,695,821

Least Common Multiple of Numerators i.e. LCM of 343,695,821 is 195714085.

GCF of Denominators means GCF of 79,35,258 as per the given fractions.

GCF of 79,35,258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,695,821

LCM of Fractions 343/79,695/35,821/258 is 195714085

Given numbers has no common factors except 1. So, there LCM is their product i.e 195714085

Least Common Multiple of 343,695,821 with GCF Formula

Least Common Multiple of 343,695,821 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 343,695,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,695,821) = 1

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

GCF(343,695,821) x common factors =1 x 1 = 1

LCM(343,695,821) = ( 343 × 695 × 821 ) / 1

LCM(343,695,821) = 195714085 / 1

LCM(343,695,821) = 195714085


Lets's calculate GCF of 79,35,258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195714085/1

Therefore the LCM of Fractions 343/79,695/35,821/258 is 195714085

Greatest Common Factor of 79,35,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,35,258 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 79,35,258 . The biggest common factor number is the GCF number.
So the greatest common factor 79,35,258 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 343/79, 695/35, 821/258

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 343/79, 695/35, 821/258?

Answer: LCM of Numerators as per given numbers 343/79, 695/35, 821/258 is

LCM of Numerators i.e. for 343,695,821 is 195714085

GCF of denominators i.e. for 79,35,258 is 1.

Thus, LCM of Fractions is 195714085.Finally, LCM of Fractions for 343/79, 695/35, 821/258 is 195714085.