Least Common Multiple of 367/17, 986/71, 870/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/17, 986/71, 870/833 quickly i.e. 5427930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/17, 986/71, 870/833 is 5427930.

LCM(367/17, 986/71, 870/833) = 5427930

LCM of 367/17, 986/71, 870/833

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 367/17,986/71,870/833

Given numbers are 367/17,986/71,870/833

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 367,986,870

Least Common Multiple of Numerators i.e. LCM of 367,986,870 is 5427930.

GCF of Denominators means GCF of 17,71,833 as per the given fractions.

GCF of 17,71,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,986,870

LCM of Fractions 367/17,986/71,870/833 is 5427930

2 367, 986, 870
29 367, 493, 435
367, 17, 15

∴ So the LCM of the given numbers is 2 x 29 x 367 x 17 x 15 = 5427930

Least Common Multiple of 367,986,870 with GCF Formula

Least Common Multiple of 367,986,870 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 367,986,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,986,870) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(367,986,870) x common factors =1 x 58 = 58

LCM(367,986,870) = ( 367 × 986 × 870 ) / 58

LCM(367,986,870) = 314819940 / 58

LCM(367,986,870) = 5427930


Lets's calculate GCF of 17,71,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5427930/1

Therefore the LCM of Fractions 367/17,986/71,870/833 is 5427930

Greatest Common Factor of 17,71,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,71,833 By Matching Biggest Common Factor Method

Factors of 17

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

1,17

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 17,71,833 . The biggest common factor number is the GCF number.
So the greatest common factor 17,71,833 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 367/17, 986/71, 870/833

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 367/17, 986/71, 870/833?

Answer: LCM of Numerators as per given numbers 367/17, 986/71, 870/833 is

LCM of Numerators i.e. for 367,986,870 is 5427930

GCF of denominators i.e. for 17,71,833 is 1.

Thus, LCM of Fractions is 5427930.Finally, LCM of Fractions for 367/17, 986/71, 870/833 is 5427930.