Least Common Multiple of 354/699, 344/210, 226/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/699, 344/210, 226/438 quickly i.e. 2293448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/699, 344/210, 226/438 is 2293448.

LCM(354/699, 344/210, 226/438) = 2293448

LCM of 354/699, 344/210, 226/438

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 354/699,344/210,226/438

Given numbers are 354/699,344/210,226/438

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 354,344,226

Least Common Multiple of Numerators i.e. LCM of 354,344,226 is 6880344.

GCF of Denominators means GCF of 699,210,438 as per the given fractions.

GCF of 699,210,438 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,344,226

LCM of Fractions 354/699,344/210,226/438 is 2293448

2 354, 344, 226
177, 172, 113

∴ So the LCM of the given numbers is 2 x 177 x 172 x 113 = 6880344

Least Common Multiple of 354,344,226 with GCF Formula

Least Common Multiple of 354,344,226 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 354,344,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,344,226) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(354,344,226) x common factors =2 x 2 = 4

LCM(354,344,226) = ( 354 × 344 × 226 ) / 4

LCM(354,344,226) = 27521376 / 4

LCM(354,344,226) = 6880344


Lets's calculate GCF of 699,210,438

3 699, 210, 438
233, 70, 146

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6880344/3

Therefore the LCM of Fractions 354/699,344/210,226/438 is 2293448

Greatest Common Factor of 699,210,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,210,438 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 699,210,438 . The biggest common factor number is the GCF number.
So the greatest common factor 699,210,438 is 3.


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 354/699, 344/210, 226/438

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 354/699, 344/210, 226/438?

Answer: LCM of Numerators as per given numbers 354/699, 344/210, 226/438 is

LCM of Numerators i.e. for 354,344,226 is 6880344

GCF of denominators i.e. for 699,210,438 is 3.

Thus, LCM of Fractions is 2293448.Finally, LCM of Fractions for 354/699, 344/210, 226/438 is 2293448.