Least Common Multiple of 50/14, 75/35, 195/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/14, 75/35, 195/556 quickly i.e. 1950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/14, 75/35, 195/556 is 1950.

LCM(50/14, 75/35, 195/556) = 1950

LCM of 50/14, 75/35, 195/556

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 50/14,75/35,195/556

Given numbers are 50/14,75/35,195/556

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 50,75,195

Least Common Multiple of Numerators i.e. LCM of 50,75,195 is 1950.

GCF of Denominators means GCF of 14,35,556 as per the given fractions.

GCF of 14,35,556 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,75,195

LCM of Fractions 50/14,75/35,195/556 is 1950

3 50, 75, 195
5 50, 25, 65
5 10, 5, 13
2, 1, 13

∴ So the LCM of the given numbers is 3 x 5 x 5 x 2 x 1 x 13 = 1950

Least Common Multiple of 50,75,195 with GCF Formula

Least Common Multiple of 50,75,195 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 50,75,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,75,195) = 5

common factors(in case of two or more numbers have common factors) = 75

GCF(50,75,195) x common factors =5 x 75 = 375

LCM(50,75,195) = ( 50 × 75 × 195 ) / 375

LCM(50,75,195) = 731250 / 375

LCM(50,75,195) = 1950


Lets's calculate GCF of 14,35,556

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1950/1

Therefore the LCM of Fractions 50/14,75/35,195/556 is 1950

Greatest Common Factor of 14,35,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,35,556 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 14,35,556 . The biggest common factor number is the GCF number.
So the greatest common factor 14,35,556 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 50/14, 75/35, 195/556

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 50/14, 75/35, 195/556?

Answer: LCM of Numerators as per given numbers 50/14, 75/35, 195/556 is

LCM of Numerators i.e. for 50,75,195 is 1950

GCF of denominators i.e. for 14,35,556 is 1.

Thus, LCM of Fractions is 1950.Finally, LCM of Fractions for 50/14, 75/35, 195/556 is 1950.