Least Common Multiple of 354/816, 604/152, 103/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/816, 604/152, 103/238 quickly i.e. 5505762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/816, 604/152, 103/238 is 5505762.

LCM(354/816, 604/152, 103/238) = 5505762

LCM of 354/816, 604/152, 103/238

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 354/816,604/152,103/238

Given numbers are 354/816,604/152,103/238

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 354,604,103

Least Common Multiple of Numerators i.e. LCM of 354,604,103 is 11011524.

GCF of Denominators means GCF of 816,152,238 as per the given fractions.

GCF of 816,152,238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,604,103

LCM of Fractions 354/816,604/152,103/238 is 5505762

2 354, 604, 103
177, 302, 103

∴ So the LCM of the given numbers is 2 x 177 x 302 x 103 = 11011524

Least Common Multiple of 354,604,103 with GCF Formula

Least Common Multiple of 354,604,103 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 354,604,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,604,103) = 1

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

GCF(354,604,103) x common factors =1 x 2 = 2

LCM(354,604,103) = ( 354 × 604 × 103 ) / 2

LCM(354,604,103) = 22023048 / 2

LCM(354,604,103) = 11011524


Lets's calculate GCF of 816,152,238

2 816, 152, 238
408, 76, 119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11011524/2

Therefore the LCM of Fractions 354/816,604/152,103/238 is 5505762

Greatest Common Factor of 816,152,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,152,238 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 816,152,238 . The biggest common factor number is the GCF number.
So the greatest common factor 816,152,238 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 354/816, 604/152, 103/238

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 354/816, 604/152, 103/238?

Answer: LCM of Numerators as per given numbers 354/816, 604/152, 103/238 is

LCM of Numerators i.e. for 354,604,103 is 11011524

GCF of denominators i.e. for 816,152,238 is 2.

Thus, LCM of Fractions is 5505762.Finally, LCM of Fractions for 354/816, 604/152, 103/238 is 5505762.