Least Common Multiple of 812/69, 410/40, 705/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 812/69, 410/40, 705/358 quickly i.e. 23470860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 812/69, 410/40, 705/358 is 23470860.

LCM(812/69, 410/40, 705/358) = 23470860

LCM of 812/69, 410/40, 705/358

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 812/69,410/40,705/358

Given numbers are 812/69,410/40,705/358

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 812,410,705

Least Common Multiple of Numerators i.e. LCM of 812,410,705 is 23470860.

GCF of Denominators means GCF of 69,40,358 as per the given fractions.

GCF of 69,40,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 812,410,705

LCM of Fractions 812/69,410/40,705/358 is 23470860

2 812, 410, 705
5 406, 205, 705
406, 41, 141

∴ So the LCM of the given numbers is 2 x 5 x 406 x 41 x 141 = 23470860

Least Common Multiple of 812,410,705 with GCF Formula

Least Common Multiple of 812,410,705 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 812,410,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,410,705) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(812,410,705) x common factors =1 x 10 = 10

LCM(812,410,705) = ( 812 × 410 × 705 ) / 10

LCM(812,410,705) = 234708600 / 10

LCM(812,410,705) = 23470860


Lets's calculate GCF of 69,40,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23470860/1

Therefore the LCM of Fractions 812/69,410/40,705/358 is 23470860

Greatest Common Factor of 69,40,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,40,358 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 69,40,358 . The biggest common factor number is the GCF number.
So the greatest common factor 69,40,358 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 812/69, 410/40, 705/358

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 812/69, 410/40, 705/358?

Answer: LCM of Numerators as per given numbers 812/69, 410/40, 705/358 is

LCM of Numerators i.e. for 812,410,705 is 23470860

GCF of denominators i.e. for 69,40,358 is 1.

Thus, LCM of Fractions is 23470860.Finally, LCM of Fractions for 812/69, 410/40, 705/358 is 23470860.