Least Common Multiple of 95/990, 50/219, 745/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/990, 50/219, 745/860 quickly i.e. 141550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/990, 50/219, 745/860 is 141550.

LCM(95/990, 50/219, 745/860) = 141550

LCM of 95/990, 50/219, 745/860

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 95/990,50/219,745/860

Given numbers are 95/990,50/219,745/860

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 95,50,745

Least Common Multiple of Numerators i.e. LCM of 95,50,745 is 141550.

GCF of Denominators means GCF of 990,219,860 as per the given fractions.

GCF of 990,219,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,50,745

LCM of Fractions 95/990,50/219,745/860 is 141550

5 95, 50, 745
19, 10, 149

∴ So the LCM of the given numbers is 5 x 19 x 10 x 149 = 141550

Least Common Multiple of 95,50,745 with GCF Formula

Least Common Multiple of 95,50,745 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 95,50,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,50,745) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(95,50,745) x common factors =5 x 5 = 25

LCM(95,50,745) = ( 95 × 50 × 745 ) / 25

LCM(95,50,745) = 3538750 / 25

LCM(95,50,745) = 141550


Lets's calculate GCF of 990,219,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141550/1

Therefore the LCM of Fractions 95/990,50/219,745/860 is 141550

Greatest Common Factor of 990,219,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,219,860 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 990,219,860 . The biggest common factor number is the GCF number.
So the greatest common factor 990,219,860 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 95/990, 50/219, 745/860

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 95/990, 50/219, 745/860?

Answer: LCM of Numerators as per given numbers 95/990, 50/219, 745/860 is

LCM of Numerators i.e. for 95,50,745 is 141550

GCF of denominators i.e. for 990,219,860 is 1.

Thus, LCM of Fractions is 141550.Finally, LCM of Fractions for 95/990, 50/219, 745/860 is 141550.