Least Common Multiple of 97/94, 15/41, 412/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/94, 15/41, 412/664 quickly i.e. 599460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/94, 15/41, 412/664 is 599460.

LCM(97/94, 15/41, 412/664) = 599460

LCM of 97/94, 15/41, 412/664

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 97/94,15/41,412/664

Given numbers are 97/94,15/41,412/664

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 97,15,412

Least Common Multiple of Numerators i.e. LCM of 97,15,412 is 599460.

GCF of Denominators means GCF of 94,41,664 as per the given fractions.

GCF of 94,41,664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,15,412

LCM of Fractions 97/94,15/41,412/664 is 599460

Given numbers has no common factors except 1. So, there LCM is their product i.e 599460

Least Common Multiple of 97,15,412 with GCF Formula

Least Common Multiple of 97,15,412 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 97,15,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,15,412) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(97,15,412) x common factors =1 x 1 = 1

LCM(97,15,412) = ( 97 × 15 × 412 ) / 1

LCM(97,15,412) = 599460 / 1

LCM(97,15,412) = 599460


Lets's calculate GCF of 94,41,664

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599460/1

Therefore the LCM of Fractions 97/94,15/41,412/664 is 599460

Greatest Common Factor of 94,41,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,41,664 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 94,41,664 . The biggest common factor number is the GCF number.
So the greatest common factor 94,41,664 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 97/94, 15/41, 412/664

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 97/94, 15/41, 412/664?

Answer: LCM of Numerators as per given numbers 97/94, 15/41, 412/664 is

LCM of Numerators i.e. for 97,15,412 is 599460

GCF of denominators i.e. for 94,41,664 is 1.

Thus, LCM of Fractions is 599460.Finally, LCM of Fractions for 97/94, 15/41, 412/664 is 599460.