Least Common Multiple of 72/43, 330/67, 953/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/43, 330/67, 953/870 quickly i.e. 3773880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/43, 330/67, 953/870 is 3773880.

LCM(72/43, 330/67, 953/870) = 3773880

LCM of 72/43, 330/67, 953/870

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 72/43,330/67,953/870

Given numbers are 72/43,330/67,953/870

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 72,330,953

Least Common Multiple of Numerators i.e. LCM of 72,330,953 is 3773880.

GCF of Denominators means GCF of 43,67,870 as per the given fractions.

GCF of 43,67,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,330,953

LCM of Fractions 72/43,330/67,953/870 is 3773880

2 72, 330, 953
3 36, 165, 953
12, 55, 953

∴ So the LCM of the given numbers is 2 x 3 x 12 x 55 x 953 = 3773880

Least Common Multiple of 72,330,953 with GCF Formula

Least Common Multiple of 72,330,953 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 72,330,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,330,953) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,330,953) x common factors =1 x 6 = 6

LCM(72,330,953) = ( 72 × 330 × 953 ) / 6

LCM(72,330,953) = 22643280 / 6

LCM(72,330,953) = 3773880


Lets's calculate GCF of 43,67,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3773880/1

Therefore the LCM of Fractions 72/43,330/67,953/870 is 3773880

Greatest Common Factor of 43,67,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,67,870 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 43,67,870 . The biggest common factor number is the GCF number.
So the greatest common factor 43,67,870 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 72/43, 330/67, 953/870

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 72/43, 330/67, 953/870?

Answer: LCM of Numerators as per given numbers 72/43, 330/67, 953/870 is

LCM of Numerators i.e. for 72,330,953 is 3773880

GCF of denominators i.e. for 43,67,870 is 1.

Thus, LCM of Fractions is 3773880.Finally, LCM of Fractions for 72/43, 330/67, 953/870 is 3773880.