Least Common Multiple of 17/14, 97/90, 97/95, 51/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/14, 97/90, 97/95, 51/813 quickly i.e. 4947 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/14, 97/90, 97/95, 51/813 is 4947.

LCM(17/14, 97/90, 97/95, 51/813) = 4947

LCM of 17/14, 97/90, 97/95, 51/813

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 17/14,97/90,97/95,51/813

Given numbers are 17/14,97/90,97/95,51/813

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 17,97,97,51

Least Common Multiple of Numerators i.e. LCM of 17,97,97,51 is 4947.

GCF of Denominators means GCF of 14,90,95,813 as per the given fractions.

GCF of 14,90,95,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,97,97,51

LCM of Fractions 17/14,97/90,97/95,51/813 is 4947

17 17, 97, 97, 51
97 1, 97, 97, 3
1, 1, 1, 3

∴ So the LCM of the given numbers is 17 x 97 x 1 x 1 x 1 x 3 = 4947

Least Common Multiple of 17,97,97,51 with GCF Formula

Least Common Multiple of 17,97,97,51 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 17,97,97,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,97,97,51) = 1

common factors(in case of two or more numbers have common factors) = 1649

GCF(17,97,97,51) x common factors =1 x 1649 = 1649

LCM(17,97,97,51) = ( 17 × 97 × 97 × 51 ) / 1649

LCM(17,97,97,51) = 8157603 / 1649

LCM(17,97,97,51) = 4947


Lets's calculate GCF of 14,90,95,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4947/1

Therefore the LCM of Fractions 17/14,97/90,97/95,51/813 is 4947

Greatest Common Factor of 14,90,95,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,90,95,813 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 14,90,95,813 . The biggest common factor number is the GCF number.
So the greatest common factor 14,90,95,813 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 17/14, 97/90, 97/95, 51/813

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 17/14, 97/90, 97/95, 51/813?

Answer: LCM of Numerators as per given numbers 17/14, 97/90, 97/95, 51/813 is

LCM of Numerators i.e. for 17,97,97,51 is 4947

GCF of denominators i.e. for 14,90,95,813 is 1.

Thus, LCM of Fractions is 4947.Finally, LCM of Fractions for 17/14, 97/90, 97/95, 51/813 is 4947.