Least Common Multiple of 95/14, 95/552, 194/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/14, 95/552, 194/570 quickly i.e. 9215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/14, 95/552, 194/570 is 9215.

LCM(95/14, 95/552, 194/570) = 9215

LCM of 95/14, 95/552, 194/570

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 95/14,95/552,194/570

Given numbers are 95/14,95/552,194/570

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 95,95,194

Least Common Multiple of Numerators i.e. LCM of 95,95,194 is 18430.

GCF of Denominators means GCF of 14,552,570 as per the given fractions.

GCF of 14,552,570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,95,194

LCM of Fractions 95/14,95/552,194/570 is 9215

5 95, 95, 194
19 19, 19, 194
1, 1, 194

∴ So the LCM of the given numbers is 5 x 19 x 1 x 1 x 194 = 18430

Least Common Multiple of 95,95,194 with GCF Formula

Least Common Multiple of 95,95,194 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 95,95,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,95,194) = 1

common factors(in case of two or more numbers have common factors) = 95

GCF(95,95,194) x common factors =1 x 95 = 95

LCM(95,95,194) = ( 95 × 95 × 194 ) / 95

LCM(95,95,194) = 1750850 / 95

LCM(95,95,194) = 18430


Lets's calculate GCF of 14,552,570

2 14, 552, 570
7, 276, 285

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18430/2

Therefore the LCM of Fractions 95/14,95/552,194/570 is 9215

Greatest Common Factor of 14,552,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,552,570 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 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 14,552,570 . The biggest common factor number is the GCF number.
So the greatest common factor 14,552,570 is 2.


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 95/14, 95/552, 194/570

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 95/14, 95/552, 194/570?

Answer: LCM of Numerators as per given numbers 95/14, 95/552, 194/570 is

LCM of Numerators i.e. for 95,95,194 is 18430

GCF of denominators i.e. for 14,552,570 is 2.

Thus, LCM of Fractions is 9215.Finally, LCM of Fractions for 95/14, 95/552, 194/570 is 9215.