Least Common Multiple of 351/86, 104/62, 824/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 351/86, 104/62, 824/712 quickly i.e. 144612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/86, 104/62, 824/712 is 144612.

LCM(351/86, 104/62, 824/712) = 144612

LCM of 351/86, 104/62, 824/712

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 351/86,104/62,824/712

Given numbers are 351/86,104/62,824/712

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 351,104,824

Least Common Multiple of Numerators i.e. LCM of 351,104,824 is 289224.

GCF of Denominators means GCF of 86,62,712 as per the given fractions.

GCF of 86,62,712 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,104,824

LCM of Fractions 351/86,104/62,824/712 is 144612

2 351, 104, 824
2 351, 52, 412
2 351, 26, 206
13 351, 13, 103
27, 1, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 27 x 1 x 103 = 289224

Least Common Multiple of 351,104,824 with GCF Formula

Least Common Multiple of 351,104,824 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 351,104,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,104,824) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(351,104,824) x common factors =1 x 104 = 104

LCM(351,104,824) = ( 351 × 104 × 824 ) / 104

LCM(351,104,824) = 30079296 / 104

LCM(351,104,824) = 289224


Lets's calculate GCF of 86,62,712

2 86, 62, 712
43, 31, 356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289224/2

Therefore the LCM of Fractions 351/86,104/62,824/712 is 144612

Greatest Common Factor of 86,62,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,62,712 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 86,62,712 . The biggest common factor number is the GCF number.
So the greatest common factor 86,62,712 is 2.


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 351/86, 104/62, 824/712

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 351/86, 104/62, 824/712?

Answer: LCM of Numerators as per given numbers 351/86, 104/62, 824/712 is

LCM of Numerators i.e. for 351,104,824 is 289224

GCF of denominators i.e. for 86,62,712 is 2.

Thus, LCM of Fractions is 144612.Finally, LCM of Fractions for 351/86, 104/62, 824/712 is 144612.