Least Common Multiple of 97/93, 230/12, 714/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/93, 230/12, 714/984 quickly i.e. 2654890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/93, 230/12, 714/984 is 2654890.

LCM(97/93, 230/12, 714/984) = 2654890

LCM of 97/93, 230/12, 714/984

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 97/93,230/12,714/984

Given numbers are 97/93,230/12,714/984

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 97,230,714

Least Common Multiple of Numerators i.e. LCM of 97,230,714 is 7964670.

GCF of Denominators means GCF of 93,12,984 as per the given fractions.

GCF of 93,12,984 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,230,714

LCM of Fractions 97/93,230/12,714/984 is 2654890

2 97, 230, 714
97, 115, 357

∴ So the LCM of the given numbers is 2 x 97 x 115 x 357 = 7964670

Least Common Multiple of 97,230,714 with GCF Formula

Least Common Multiple of 97,230,714 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 97,230,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,230,714) = 1

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

GCF(97,230,714) x common factors =1 x 2 = 2

LCM(97,230,714) = ( 97 × 230 × 714 ) / 2

LCM(97,230,714) = 15929340 / 2

LCM(97,230,714) = 7964670


Lets's calculate GCF of 93,12,984

3 93, 12, 984
31, 4, 328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7964670/3

Therefore the LCM of Fractions 97/93,230/12,714/984 is 2654890

Greatest Common Factor of 93,12,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,12,984 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 93,12,984 . The biggest common factor number is the GCF number.
So the greatest common factor 93,12,984 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 97/93, 230/12, 714/984

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 97/93, 230/12, 714/984?

Answer: LCM of Numerators as per given numbers 97/93, 230/12, 714/984 is

LCM of Numerators i.e. for 97,230,714 is 7964670

GCF of denominators i.e. for 93,12,984 is 3.

Thus, LCM of Fractions is 2654890.Finally, LCM of Fractions for 97/93, 230/12, 714/984 is 2654890.