Least Common Multiple of 1407/80, 9084/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1407/80, 9084/930 quickly i.e. 4260396/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1407/80, 9084/930 is 4260396/10.

LCM(1407/80, 9084/930) = 4260396/10

LCM of 1407/80, 9084/930

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 1407/80,9084/930

Given numbers are 1407/80,9084/930

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 1407,9084

Least Common Multiple of Numerators i.e. LCM of 1407,9084 is 4260396.

GCF of Denominators means GCF of 80,930 as per the given fractions.

GCF of 80,930 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1407,9084

LCM of Fractions 1407/80,9084/930 is 4260396/10

3 1407, 9084
469, 3028

∴ So the LCM of the given numbers is 3 x 469 x 3028 = 4260396

Least Common Multiple of 1407,9084 with GCF Formula

Least Common Multiple of 1407,9084 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 1407,9084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1407,9084) = 3

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

GCF(1407,9084) x common factors =3 x 1 = 3

LCM(1407,9084) = ( 1407 × 9084 ) / 3

LCM(1407,9084) = 12781188 / 3

LCM(1407,9084) = 4260396


Lets's calculate GCF of 80,930

2 80, 930
5 40, 465
8, 93

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4260396/10

Therefore the LCM of Fractions 1407/80,9084/930 is 4260396/10

Greatest Common Factor of 80,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,930 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 80,930 . The biggest common factor number is the GCF number.
So the greatest common factor 80,930 is 10.


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 1407/80, 9084/930

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 1407/80, 9084/930?

Answer: LCM of Numerators as per given numbers 1407/80, 9084/930 is

LCM of Numerators i.e. for 1407,9084 is 4260396

GCF of denominators i.e. for 80,930 is 10.

Thus, LCM of Fractions is 4260396/10.Finally, LCM of Fractions for 1407/80, 9084/930 is 4260396/10.