Least Common Multiple of 97/372, 94/237, 674/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/372, 94/237, 674/384 quickly i.e. 3072766/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/372, 94/237, 674/384 is 3072766/3.

LCM(97/372, 94/237, 674/384) = 3072766/3

LCM of 97/372, 94/237, 674/384

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 97/372,94/237,674/384

Given numbers are 97/372,94/237,674/384

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 97,94,674

Least Common Multiple of Numerators i.e. LCM of 97,94,674 is 3072766.

GCF of Denominators means GCF of 372,237,384 as per the given fractions.

GCF of 372,237,384 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,94,674

LCM of Fractions 97/372,94/237,674/384 is 3072766/3

2 97, 94, 674
97, 47, 337

∴ So the LCM of the given numbers is 2 x 97 x 47 x 337 = 3072766

Least Common Multiple of 97,94,674 with GCF Formula

Least Common Multiple of 97,94,674 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 97,94,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,94,674) = 1

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

GCF(97,94,674) x common factors =1 x 2 = 2

LCM(97,94,674) = ( 97 × 94 × 674 ) / 2

LCM(97,94,674) = 6145532 / 2

LCM(97,94,674) = 3072766


Lets's calculate GCF of 372,237,384

3 372, 237, 384
124, 79, 128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3072766/3

Therefore the LCM of Fractions 97/372,94/237,674/384 is 3072766/3

Greatest Common Factor of 372,237,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,237,384 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 372,237,384 . The biggest common factor number is the GCF number.
So the greatest common factor 372,237,384 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 97/372, 94/237, 674/384

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 97/372, 94/237, 674/384?

Answer: LCM of Numerators as per given numbers 97/372, 94/237, 674/384 is

LCM of Numerators i.e. for 97,94,674 is 3072766

GCF of denominators i.e. for 372,237,384 is 3.

Thus, LCM of Fractions is 3072766/3.Finally, LCM of Fractions for 97/372, 94/237, 674/384 is 3072766/3.