Least Common Multiple of 48/799, 40/216, 476/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/799, 40/216, 476/926 quickly i.e. 28560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/799, 40/216, 476/926 is 28560.

LCM(48/799, 40/216, 476/926) = 28560

LCM of 48/799, 40/216, 476/926

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 48/799,40/216,476/926

Given numbers are 48/799,40/216,476/926

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 48,40,476

Least Common Multiple of Numerators i.e. LCM of 48,40,476 is 28560.

GCF of Denominators means GCF of 799,216,926 as per the given fractions.

GCF of 799,216,926 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,40,476

LCM of Fractions 48/799,40/216,476/926 is 28560

2 48, 40, 476
2 24, 20, 238
2 12, 10, 119
6, 5, 119

∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 5 x 119 = 28560

Least Common Multiple of 48,40,476 with GCF Formula

Least Common Multiple of 48,40,476 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 48,40,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,40,476) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(48,40,476) x common factors =4 x 8 = 32

LCM(48,40,476) = ( 48 × 40 × 476 ) / 32

LCM(48,40,476) = 913920 / 32

LCM(48,40,476) = 28560


Lets's calculate GCF of 799,216,926

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28560/1

Therefore the LCM of Fractions 48/799,40/216,476/926 is 28560

Greatest Common Factor of 799,216,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,216,926 By Matching Biggest Common Factor Method

Factors of 799

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

1,17,47,799

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

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

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 799,216,926 . The biggest common factor number is the GCF number.
So the greatest common factor 799,216,926 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 48/799, 40/216, 476/926

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 48/799, 40/216, 476/926?

Answer: LCM of Numerators as per given numbers 48/799, 40/216, 476/926 is

LCM of Numerators i.e. for 48,40,476 is 28560

GCF of denominators i.e. for 799,216,926 is 1.

Thus, LCM of Fractions is 28560.Finally, LCM of Fractions for 48/799, 40/216, 476/926 is 28560.