Least Common Multiple of 69/378, 98/448, 484/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/378, 98/448, 484/374 quickly i.e. 818202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/378, 98/448, 484/374 is 818202.

LCM(69/378, 98/448, 484/374) = 818202

LCM of 69/378, 98/448, 484/374

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 69/378,98/448,484/374

Given numbers are 69/378,98/448,484/374

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 69,98,484

Least Common Multiple of Numerators i.e. LCM of 69,98,484 is 1636404.

GCF of Denominators means GCF of 378,448,374 as per the given fractions.

GCF of 378,448,374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,98,484

LCM of Fractions 69/378,98/448,484/374 is 818202

2 69, 98, 484
69, 49, 242

∴ So the LCM of the given numbers is 2 x 69 x 49 x 242 = 1636404

Least Common Multiple of 69,98,484 with GCF Formula

Least Common Multiple of 69,98,484 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 69,98,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,98,484) = 1

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

GCF(69,98,484) x common factors =1 x 2 = 2

LCM(69,98,484) = ( 69 × 98 × 484 ) / 2

LCM(69,98,484) = 3272808 / 2

LCM(69,98,484) = 1636404


Lets's calculate GCF of 378,448,374

2 378, 448, 374
189, 224, 187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1636404/2

Therefore the LCM of Fractions 69/378,98/448,484/374 is 818202

Greatest Common Factor of 378,448,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,448,374 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

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 378,448,374 . The biggest common factor number is the GCF number.
So the greatest common factor 378,448,374 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 69/378, 98/448, 484/374

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 69/378, 98/448, 484/374?

Answer: LCM of Numerators as per given numbers 69/378, 98/448, 484/374 is

LCM of Numerators i.e. for 69,98,484 is 1636404

GCF of denominators i.e. for 378,448,374 is 2.

Thus, LCM of Fractions is 818202.Finally, LCM of Fractions for 69/378, 98/448, 484/374 is 818202.