Least Common Multiple of 3219/750, 6664/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3219/750, 6664/950 quickly i.e. 21451416/50 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3219/750, 6664/950 is 21451416/50.

LCM(3219/750, 6664/950) = 21451416/50

LCM of 3219/750, 6664/950

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 3219/750,6664/950

Given numbers are 3219/750,6664/950

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 3219,6664

Least Common Multiple of Numerators i.e. LCM of 3219,6664 is 21451416.

GCF of Denominators means GCF of 750,950 as per the given fractions.

GCF of 750,950 is 50 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3219,6664

LCM of Fractions 3219/750,6664/950 is 21451416/50

Given numbers has no common factors except 1. So, there LCM is their product i.e 21451416

Least Common Multiple of 3219,6664 with GCF Formula

Least Common Multiple of 3219,6664 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 3219,6664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3219,6664) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(3219,6664) x common factors =1 x 1 = 1

LCM(3219,6664) = ( 3219 × 6664 ) / 1

LCM(3219,6664) = 21451416 / 1

LCM(3219,6664) = 21451416


Lets's calculate GCF of 750,950

2 750, 950
5 375, 475
5 75, 95
15, 19

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21451416/50

Therefore the LCM of Fractions 3219/750,6664/950 is 21451416/50

Greatest Common Factor of 750,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,950 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 750,950 . The biggest common factor number is the GCF number.
So the greatest common factor 750,950 is 50.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3219/750, 6664/950

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 3219/750, 6664/950?

Answer: LCM of Numerators as per given numbers 3219/750, 6664/950 is

LCM of Numerators i.e. for 3219,6664 is 21451416

GCF of denominators i.e. for 750,950 is 50.

Thus, LCM of Fractions is 21451416/50.Finally, LCM of Fractions for 3219/750, 6664/950 is 21451416/50.