Least Common Multiple of 820/19, 450/22, 852/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/19, 450/22, 852/778 quickly i.e. 2619900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/19, 450/22, 852/778 is 2619900.

LCM(820/19, 450/22, 852/778) = 2619900

LCM of 820/19, 450/22, 852/778

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 820/19,450/22,852/778

Given numbers are 820/19,450/22,852/778

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 820,450,852

Least Common Multiple of Numerators i.e. LCM of 820,450,852 is 2619900.

GCF of Denominators means GCF of 19,22,778 as per the given fractions.

GCF of 19,22,778 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,450,852

LCM of Fractions 820/19,450/22,852/778 is 2619900

2 820, 450, 852
2 410, 225, 426
3 205, 225, 213
5 205, 75, 71
41, 15, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 41 x 15 x 71 = 2619900

Least Common Multiple of 820,450,852 with GCF Formula

Least Common Multiple of 820,450,852 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 820,450,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,450,852) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(820,450,852) x common factors =2 x 60 = 120

LCM(820,450,852) = ( 820 × 450 × 852 ) / 120

LCM(820,450,852) = 314388000 / 120

LCM(820,450,852) = 2619900


Lets's calculate GCF of 19,22,778

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2619900/1

Therefore the LCM of Fractions 820/19,450/22,852/778 is 2619900

Greatest Common Factor of 19,22,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,22,778 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 19,22,778 . The biggest common factor number is the GCF number.
So the greatest common factor 19,22,778 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 820/19, 450/22, 852/778

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 820/19, 450/22, 852/778?

Answer: LCM of Numerators as per given numbers 820/19, 450/22, 852/778 is

LCM of Numerators i.e. for 820,450,852 is 2619900

GCF of denominators i.e. for 19,22,778 is 1.

Thus, LCM of Fractions is 2619900.Finally, LCM of Fractions for 820/19, 450/22, 852/778 is 2619900.