Least Common Multiple of 812/76, 462/24, 509/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 812/76, 462/24, 509/880 quickly i.e. 3409791 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 812/76, 462/24, 509/880 is 3409791.

LCM(812/76, 462/24, 509/880) = 3409791

LCM of 812/76, 462/24, 509/880

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 812/76,462/24,509/880

Given numbers are 812/76,462/24,509/880

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 812,462,509

Least Common Multiple of Numerators i.e. LCM of 812,462,509 is 13639164.

GCF of Denominators means GCF of 76,24,880 as per the given fractions.

GCF of 76,24,880 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 812,462,509

LCM of Fractions 812/76,462/24,509/880 is 3409791

2 812, 462, 509
7 406, 231, 509
58, 33, 509

∴ So the LCM of the given numbers is 2 x 7 x 58 x 33 x 509 = 13639164

Least Common Multiple of 812,462,509 with GCF Formula

Least Common Multiple of 812,462,509 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 812,462,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,462,509) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(812,462,509) x common factors =1 x 14 = 14

LCM(812,462,509) = ( 812 × 462 × 509 ) / 14

LCM(812,462,509) = 190948296 / 14

LCM(812,462,509) = 13639164


Lets's calculate GCF of 76,24,880

2 76, 24, 880
2 38, 12, 440
19, 6, 220

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13639164/4

Therefore the LCM of Fractions 812/76,462/24,509/880 is 3409791

Greatest Common Factor of 76,24,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,24,880 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

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

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 76,24,880 . The biggest common factor number is the GCF number.
So the greatest common factor 76,24,880 is 4.


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 812/76, 462/24, 509/880

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 812/76, 462/24, 509/880?

Answer: LCM of Numerators as per given numbers 812/76, 462/24, 509/880 is

LCM of Numerators i.e. for 812,462,509 is 13639164

GCF of denominators i.e. for 76,24,880 is 4.

Thus, LCM of Fractions is 3409791.Finally, LCM of Fractions for 812/76, 462/24, 509/880 is 3409791.