Least Common Multiple of 989/53, 946/48, 943/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 989/53, 946/48, 943/723 quickly i.e. 892078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/53, 946/48, 943/723 is 892078.

LCM(989/53, 946/48, 943/723) = 892078

LCM of 989/53, 946/48, 943/723

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 989/53,946/48,943/723

Given numbers are 989/53,946/48,943/723

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 989,946,943

Least Common Multiple of Numerators i.e. LCM of 989,946,943 is 892078.

GCF of Denominators means GCF of 53,48,723 as per the given fractions.

GCF of 53,48,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,946,943

LCM of Fractions 989/53,946/48,943/723 is 892078

23 989, 946, 943
43 43, 946, 41
1, 22, 41

∴ So the LCM of the given numbers is 23 x 43 x 1 x 22 x 41 = 892078

Least Common Multiple of 989,946,943 with GCF Formula

Least Common Multiple of 989,946,943 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 989,946,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,946,943) = 1

common factors(in case of two or more numbers have common factors) = 989

GCF(989,946,943) x common factors =1 x 989 = 989

LCM(989,946,943) = ( 989 × 946 × 943 ) / 989

LCM(989,946,943) = 882265142 / 989

LCM(989,946,943) = 892078


Lets's calculate GCF of 53,48,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 892078/1

Therefore the LCM of Fractions 989/53,946/48,943/723 is 892078

Greatest Common Factor of 53,48,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,48,723 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 53,48,723 . The biggest common factor number is the GCF number.
So the greatest common factor 53,48,723 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 989/53, 946/48, 943/723

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 989/53, 946/48, 943/723?

Answer: LCM of Numerators as per given numbers 989/53, 946/48, 943/723 is

LCM of Numerators i.e. for 989,946,943 is 892078

GCF of denominators i.e. for 53,48,723 is 1.

Thus, LCM of Fractions is 892078.Finally, LCM of Fractions for 989/53, 946/48, 943/723 is 892078.