Least Common Multiple of 51/94, 30/21, 85/17, 75/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/94, 30/21, 85/17, 75/695 quickly i.e. 2550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/94, 30/21, 85/17, 75/695 is 2550.

LCM(51/94, 30/21, 85/17, 75/695) = 2550

LCM of 51/94, 30/21, 85/17, 75/695

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 51/94,30/21,85/17,75/695

Given numbers are 51/94,30/21,85/17,75/695

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 51,30,85,75

Least Common Multiple of Numerators i.e. LCM of 51,30,85,75 is 2550.

GCF of Denominators means GCF of 94,21,17,695 as per the given fractions.

GCF of 94,21,17,695 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,30,85,75

LCM of Fractions 51/94,30/21,85/17,75/695 is 2550

3 51, 30, 85, 75
5 17, 10, 85, 25
17 17, 2, 17, 5
1, 2, 1, 5

∴ So the LCM of the given numbers is 3 x 5 x 17 x 1 x 2 x 1 x 5 = 2550

Least Common Multiple of 51,30,85,75 with GCF Formula

Least Common Multiple of 51,30,85,75 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 51,30,85,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,30,85,75) = 1

common factors(in case of two or more numbers have common factors) = 3825

GCF(51,30,85,75) x common factors =1 x 3825 = 3825

LCM(51,30,85,75) = ( 51 × 30 × 85 × 75 ) / 3825

LCM(51,30,85,75) = 9753750 / 3825

LCM(51,30,85,75) = 2550


Lets's calculate GCF of 94,21,17,695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2550/1

Therefore the LCM of Fractions 51/94,30/21,85/17,75/695 is 2550

Greatest Common Factor of 94,21,17,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,21,17,695 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 94,21,17,695 . The biggest common factor number is the GCF number.
So the greatest common factor 94,21,17,695 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 51/94, 30/21, 85/17, 75/695

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 51/94, 30/21, 85/17, 75/695?

Answer: LCM of Numerators as per given numbers 51/94, 30/21, 85/17, 75/695 is

LCM of Numerators i.e. for 51,30,85,75 is 2550

GCF of denominators i.e. for 94,21,17,695 is 1.

Thus, LCM of Fractions is 2550.Finally, LCM of Fractions for 51/94, 30/21, 85/17, 75/695 is 2550.