Least Common Multiple of 855/70, 222/85, 819/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 855/70, 222/85, 819/805 quickly i.e. 1151514 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 855/70, 222/85, 819/805 is 1151514.

LCM(855/70, 222/85, 819/805) = 1151514

LCM of 855/70, 222/85, 819/805

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 855/70,222/85,819/805

Given numbers are 855/70,222/85,819/805

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 855,222,819

Least Common Multiple of Numerators i.e. LCM of 855,222,819 is 5757570.

GCF of Denominators means GCF of 70,85,805 as per the given fractions.

GCF of 70,85,805 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 855,222,819

LCM of Fractions 855/70,222/85,819/805 is 1151514

3 855, 222, 819
3 285, 74, 273
95, 74, 91

∴ So the LCM of the given numbers is 3 x 3 x 95 x 74 x 91 = 5757570

Least Common Multiple of 855,222,819 with GCF Formula

Least Common Multiple of 855,222,819 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 855,222,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,222,819) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(855,222,819) x common factors =3 x 9 = 27

LCM(855,222,819) = ( 855 × 222 × 819 ) / 27

LCM(855,222,819) = 155454390 / 27

LCM(855,222,819) = 5757570


Lets's calculate GCF of 70,85,805

5 70, 85, 805
14, 17, 161

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5757570/5

Therefore the LCM of Fractions 855/70,222/85,819/805 is 1151514

Greatest Common Factor of 70,85,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,85,805 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 70,85,805 . The biggest common factor number is the GCF number.
So the greatest common factor 70,85,805 is 5.


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 855/70, 222/85, 819/805

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 855/70, 222/85, 819/805?

Answer: LCM of Numerators as per given numbers 855/70, 222/85, 819/805 is

LCM of Numerators i.e. for 855,222,819 is 5757570

GCF of denominators i.e. for 70,85,805 is 5.

Thus, LCM of Fractions is 1151514.Finally, LCM of Fractions for 855/70, 222/85, 819/805 is 1151514.