Least Common Multiple of 238/208, 265/353, 774/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 238/208, 265/353, 774/374 quickly i.e. 24408090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 238/208, 265/353, 774/374 is 24408090.

LCM(238/208, 265/353, 774/374) = 24408090

LCM of 238/208, 265/353, 774/374

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 238/208,265/353,774/374

Given numbers are 238/208,265/353,774/374

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 238,265,774

Least Common Multiple of Numerators i.e. LCM of 238,265,774 is 24408090.

GCF of Denominators means GCF of 208,353,374 as per the given fractions.

GCF of 208,353,374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 238,265,774

LCM of Fractions 238/208,265/353,774/374 is 24408090

2 238, 265, 774
119, 265, 387

∴ So the LCM of the given numbers is 2 x 119 x 265 x 387 = 24408090

Least Common Multiple of 238,265,774 with GCF Formula

Least Common Multiple of 238,265,774 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 238,265,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,265,774) = 1

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

GCF(238,265,774) x common factors =1 x 2 = 2

LCM(238,265,774) = ( 238 × 265 × 774 ) / 2

LCM(238,265,774) = 48816180 / 2

LCM(238,265,774) = 24408090


Lets's calculate GCF of 208,353,374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24408090/1

Therefore the LCM of Fractions 238/208,265/353,774/374 is 24408090

Greatest Common Factor of 208,353,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,353,374 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 208,353,374 . The biggest common factor number is the GCF number.
So the greatest common factor 208,353,374 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 238/208, 265/353, 774/374

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 238/208, 265/353, 774/374?

Answer: LCM of Numerators as per given numbers 238/208, 265/353, 774/374 is

LCM of Numerators i.e. for 238,265,774 is 24408090

GCF of denominators i.e. for 208,353,374 is 1.

Thus, LCM of Fractions is 24408090.Finally, LCM of Fractions for 238/208, 265/353, 774/374 is 24408090.