Least Common Multiple of 321/947, 300/795, 500/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/947, 300/795, 500/858 quickly i.e. 160500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/947, 300/795, 500/858 is 160500.

LCM(321/947, 300/795, 500/858) = 160500

LCM of 321/947, 300/795, 500/858

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 321/947,300/795,500/858

Given numbers are 321/947,300/795,500/858

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 321,300,500

Least Common Multiple of Numerators i.e. LCM of 321,300,500 is 160500.

GCF of Denominators means GCF of 947,795,858 as per the given fractions.

GCF of 947,795,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,300,500

LCM of Fractions 321/947,300/795,500/858 is 160500

2 321, 300, 500
2 321, 150, 250
3 321, 75, 125
5 107, 25, 125
5 107, 5, 25
107, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 107 x 1 x 5 = 160500

Least Common Multiple of 321,300,500 with GCF Formula

Least Common Multiple of 321,300,500 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 321,300,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,300,500) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(321,300,500) x common factors =1 x 300 = 300

LCM(321,300,500) = ( 321 × 300 × 500 ) / 300

LCM(321,300,500) = 48150000 / 300

LCM(321,300,500) = 160500


Lets's calculate GCF of 947,795,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160500/1

Therefore the LCM of Fractions 321/947,300/795,500/858 is 160500

Greatest Common Factor of 947,795,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,795,858 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 947,795,858 . The biggest common factor number is the GCF number.
So the greatest common factor 947,795,858 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 321/947, 300/795, 500/858

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 321/947, 300/795, 500/858?

Answer: LCM of Numerators as per given numbers 321/947, 300/795, 500/858 is

LCM of Numerators i.e. for 321,300,500 is 160500

GCF of denominators i.e. for 947,795,858 is 1.

Thus, LCM of Fractions is 160500.Finally, LCM of Fractions for 321/947, 300/795, 500/858 is 160500.