Least Common Multiple of 870/95, 819/76, 479/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/95, 819/76, 479/16 quickly i.e. 113767290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/95, 819/76, 479/16 is 113767290.

LCM(870/95, 819/76, 479/16) = 113767290

LCM of 870/95, 819/76, 479/16

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 870/95,819/76,479/16

Given numbers are 870/95,819/76,479/16

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 870,819,479

Least Common Multiple of Numerators i.e. LCM of 870,819,479 is 113767290.

GCF of Denominators means GCF of 95,76,16 as per the given fractions.

GCF of 95,76,16 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,819,479

LCM of Fractions 870/95,819/76,479/16 is 113767290

3 870, 819, 479
290, 273, 479

∴ So the LCM of the given numbers is 3 x 290 x 273 x 479 = 113767290

Least Common Multiple of 870,819,479 with GCF Formula

Least Common Multiple of 870,819,479 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 870,819,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,819,479) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(870,819,479) x common factors =1 x 3 = 3

LCM(870,819,479) = ( 870 × 819 × 479 ) / 3

LCM(870,819,479) = 341301870 / 3

LCM(870,819,479) = 113767290


Lets's calculate GCF of 95,76,16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113767290/1

Therefore the LCM of Fractions 870/95,819/76,479/16 is 113767290

Greatest Common Factor of 95,76,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,76,16 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 95,76,16 . The biggest common factor number is the GCF number.
So the greatest common factor 95,76,16 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 870/95, 819/76, 479/16

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 870/95, 819/76, 479/16?

Answer: LCM of Numerators as per given numbers 870/95, 819/76, 479/16 is

LCM of Numerators i.e. for 870,819,479 is 113767290

GCF of denominators i.e. for 95,76,16 is 1.

Thus, LCM of Fractions is 113767290.Finally, LCM of Fractions for 870/95, 819/76, 479/16 is 113767290.