Least Common Multiple of 146/90, 729/7996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 146/90, 729/7996 quickly i.e. 53217 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 146/90, 729/7996 is 53217.

LCM(146/90, 729/7996) = 53217

LCM of 146/90, 729/7996

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 146/90,729/7996

Given numbers are 146/90,729/7996

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 146,729

Least Common Multiple of Numerators i.e. LCM of 146,729 is 106434.

GCF of Denominators means GCF of 90,7996 as per the given fractions.

GCF of 90,7996 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 146,729

LCM of Fractions 146/90,729/7996 is 53217

Given numbers has no common factors except 1. So, there LCM is their product i.e 106434

Least Common Multiple of 146,729 with GCF Formula

Least Common Multiple of 146,729 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 146,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,729) = 1

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

GCF(146,729) x common factors =1 x 1 = 1

LCM(146,729) = ( 146 × 729 ) / 1

LCM(146,729) = 106434 / 1

LCM(146,729) = 106434


Lets's calculate GCF of 90,7996

2 90, 7996
45, 3998

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106434/2

Therefore the LCM of Fractions 146/90,729/7996 is 53217

Greatest Common Factor of 90,7996 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,7996 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 7996

List of positive integer factors of 7996 that divides 7996 without a remainder.

1,2,4,1999,3998,7996

Greatest Common Factor

We found the factors 90,7996 . The biggest common factor number is the GCF number.
So the greatest common factor 90,7996 is 2.


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 146/90, 729/7996

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 146/90, 729/7996?

Answer: LCM of Numerators as per given numbers 146/90, 729/7996 is

LCM of Numerators i.e. for 146,729 is 106434

GCF of denominators i.e. for 90,7996 is 2.

Thus, LCM of Fractions is 53217.Finally, LCM of Fractions for 146/90, 729/7996 is 53217.