Least Common Multiple of 72/648, 110/799, 998/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/648, 110/799, 998/977 quickly i.e. 1976040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/648, 110/799, 998/977 is 1976040.

LCM(72/648, 110/799, 998/977) = 1976040

LCM of 72/648, 110/799, 998/977

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 72/648,110/799,998/977

Given numbers are 72/648,110/799,998/977

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 72,110,998

Least Common Multiple of Numerators i.e. LCM of 72,110,998 is 1976040.

GCF of Denominators means GCF of 648,799,977 as per the given fractions.

GCF of 648,799,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,110,998

LCM of Fractions 72/648,110/799,998/977 is 1976040

2 72, 110, 998
36, 55, 499

∴ So the LCM of the given numbers is 2 x 36 x 55 x 499 = 1976040

Least Common Multiple of 72,110,998 with GCF Formula

Least Common Multiple of 72,110,998 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 72,110,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,110,998) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(72,110,998) x common factors =2 x 2 = 4

LCM(72,110,998) = ( 72 × 110 × 998 ) / 4

LCM(72,110,998) = 7904160 / 4

LCM(72,110,998) = 1976040


Lets's calculate GCF of 648,799,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1976040/1

Therefore the LCM of Fractions 72/648,110/799,998/977 is 1976040

Greatest Common Factor of 648,799,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,799,977 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 648,799,977 . The biggest common factor number is the GCF number.
So the greatest common factor 648,799,977 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 72/648, 110/799, 998/977

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 72/648, 110/799, 998/977?

Answer: LCM of Numerators as per given numbers 72/648, 110/799, 998/977 is

LCM of Numerators i.e. for 72,110,998 is 1976040

GCF of denominators i.e. for 648,799,977 is 1.

Thus, LCM of Fractions is 1976040.Finally, LCM of Fractions for 72/648, 110/799, 998/977 is 1976040.