Least Common Multiple of 93/51, 35/14, 94/69, 34/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/51, 35/14, 94/69, 34/214 quickly i.e. 5201490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/51, 35/14, 94/69, 34/214 is 5201490.

LCM(93/51, 35/14, 94/69, 34/214) = 5201490

LCM of 93/51, 35/14, 94/69, 34/214

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 93/51,35/14,94/69,34/214

Given numbers are 93/51,35/14,94/69,34/214

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 93,35,94,34

Least Common Multiple of Numerators i.e. LCM of 93,35,94,34 is 5201490.

GCF of Denominators means GCF of 51,14,69,214 as per the given fractions.

GCF of 51,14,69,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,35,94,34

LCM of Fractions 93/51,35/14,94/69,34/214 is 5201490

2 93, 35, 94, 34
93, 35, 47, 17

∴ So the LCM of the given numbers is 2 x 93 x 35 x 47 x 17 = 5201490

Least Common Multiple of 93,35,94,34 with GCF Formula

Least Common Multiple of 93,35,94,34 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 93,35,94,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,35,94,34) = 1

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

GCF(93,35,94,34) x common factors =1 x 2 = 2

LCM(93,35,94,34) = ( 93 × 35 × 94 × 34 ) / 2

LCM(93,35,94,34) = 10402980 / 2

LCM(93,35,94,34) = 5201490


Lets's calculate GCF of 51,14,69,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5201490/1

Therefore the LCM of Fractions 93/51,35/14,94/69,34/214 is 5201490

Greatest Common Factor of 51,14,69,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,14,69,214 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 14

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

1,2,7,14

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 51,14,69,214 . The biggest common factor number is the GCF number.
So the greatest common factor 51,14,69,214 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 93/51, 35/14, 94/69, 34/214

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 93/51, 35/14, 94/69, 34/214?

Answer: LCM of Numerators as per given numbers 93/51, 35/14, 94/69, 34/214 is

LCM of Numerators i.e. for 93,35,94,34 is 5201490

GCF of denominators i.e. for 51,14,69,214 is 1.

Thus, LCM of Fractions is 5201490.Finally, LCM of Fractions for 93/51, 35/14, 94/69, 34/214 is 5201490.