Least Common Multiple of 28/380, 807/899, 978/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/380, 807/899, 978/984 quickly i.e. 3683148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/380, 807/899, 978/984 is 3683148.

LCM(28/380, 807/899, 978/984) = 3683148

LCM of 28/380, 807/899, 978/984

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 28/380,807/899,978/984

Given numbers are 28/380,807/899,978/984

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 28,807,978

Least Common Multiple of Numerators i.e. LCM of 28,807,978 is 3683148.

GCF of Denominators means GCF of 380,899,984 as per the given fractions.

GCF of 380,899,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,807,978

LCM of Fractions 28/380,807/899,978/984 is 3683148

2 28, 807, 978
3 14, 807, 489
14, 269, 163

∴ So the LCM of the given numbers is 2 x 3 x 14 x 269 x 163 = 3683148

Least Common Multiple of 28,807,978 with GCF Formula

Least Common Multiple of 28,807,978 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 28,807,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,807,978) = 1

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

GCF(28,807,978) x common factors =1 x 6 = 6

LCM(28,807,978) = ( 28 × 807 × 978 ) / 6

LCM(28,807,978) = 22098888 / 6

LCM(28,807,978) = 3683148


Lets's calculate GCF of 380,899,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3683148/1

Therefore the LCM of Fractions 28/380,807/899,978/984 is 3683148

Greatest Common Factor of 380,899,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,899,984 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 380,899,984 . The biggest common factor number is the GCF number.
So the greatest common factor 380,899,984 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 28/380, 807/899, 978/984

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 28/380, 807/899, 978/984?

Answer: LCM of Numerators as per given numbers 28/380, 807/899, 978/984 is

LCM of Numerators i.e. for 28,807,978 is 3683148

GCF of denominators i.e. for 380,899,984 is 1.

Thus, LCM of Fractions is 3683148.Finally, LCM of Fractions for 28/380, 807/899, 978/984 is 3683148.