Least Common Multiple of 94/45, 97/19, 97/15, 56/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/45, 97/19, 97/15, 56/102 quickly i.e. 255304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/45, 97/19, 97/15, 56/102 is 255304.

LCM(94/45, 97/19, 97/15, 56/102) = 255304

LCM of 94/45, 97/19, 97/15, 56/102

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 94/45,97/19,97/15,56/102

Given numbers are 94/45,97/19,97/15,56/102

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 94,97,97,56

Least Common Multiple of Numerators i.e. LCM of 94,97,97,56 is 255304.

GCF of Denominators means GCF of 45,19,15,102 as per the given fractions.

GCF of 45,19,15,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,97,97,56

LCM of Fractions 94/45,97/19,97/15,56/102 is 255304

2 94, 97, 97, 56
97 47, 97, 97, 28
47, 1, 1, 28

∴ So the LCM of the given numbers is 2 x 97 x 47 x 1 x 1 x 28 = 255304

Least Common Multiple of 94,97,97,56 with GCF Formula

Least Common Multiple of 94,97,97,56 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 94,97,97,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,97,97,56) = 1

common factors(in case of two or more numbers have common factors) = 194

GCF(94,97,97,56) x common factors =1 x 194 = 194

LCM(94,97,97,56) = ( 94 × 97 × 97 × 56 ) / 194

LCM(94,97,97,56) = 49528976 / 194

LCM(94,97,97,56) = 255304


Lets's calculate GCF of 45,19,15,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255304/1

Therefore the LCM of Fractions 94/45,97/19,97/15,56/102 is 255304

Greatest Common Factor of 45,19,15,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,19,15,102 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 45,19,15,102 . The biggest common factor number is the GCF number.
So the greatest common factor 45,19,15,102 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 94/45, 97/19, 97/15, 56/102

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 94/45, 97/19, 97/15, 56/102?

Answer: LCM of Numerators as per given numbers 94/45, 97/19, 97/15, 56/102 is

LCM of Numerators i.e. for 94,97,97,56 is 255304

GCF of denominators i.e. for 45,19,15,102 is 1.

Thus, LCM of Fractions is 255304.Finally, LCM of Fractions for 94/45, 97/19, 97/15, 56/102 is 255304.