Least Common Multiple of 45/860, 212/203, 505/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/860, 212/203, 505/572 quickly i.e. 963540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/860, 212/203, 505/572 is 963540.

LCM(45/860, 212/203, 505/572) = 963540

LCM of 45/860, 212/203, 505/572

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 45/860,212/203,505/572

Given numbers are 45/860,212/203,505/572

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 45,212,505

Least Common Multiple of Numerators i.e. LCM of 45,212,505 is 963540.

GCF of Denominators means GCF of 860,203,572 as per the given fractions.

GCF of 860,203,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,212,505

LCM of Fractions 45/860,212/203,505/572 is 963540

5 45, 212, 505
9, 212, 101

∴ So the LCM of the given numbers is 5 x 9 x 212 x 101 = 963540

Least Common Multiple of 45,212,505 with GCF Formula

Least Common Multiple of 45,212,505 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 45,212,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,212,505) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(45,212,505) x common factors =1 x 5 = 5

LCM(45,212,505) = ( 45 × 212 × 505 ) / 5

LCM(45,212,505) = 4817700 / 5

LCM(45,212,505) = 963540


Lets's calculate GCF of 860,203,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 963540/1

Therefore the LCM of Fractions 45/860,212/203,505/572 is 963540

Greatest Common Factor of 860,203,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,203,572 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 860,203,572 . The biggest common factor number is the GCF number.
So the greatest common factor 860,203,572 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 45/860, 212/203, 505/572

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 45/860, 212/203, 505/572?

Answer: LCM of Numerators as per given numbers 45/860, 212/203, 505/572 is

LCM of Numerators i.e. for 45,212,505 is 963540

GCF of denominators i.e. for 860,203,572 is 1.

Thus, LCM of Fractions is 963540.Finally, LCM of Fractions for 45/860, 212/203, 505/572 is 963540.