Least Common Multiple of 45/470, 66/874, 625/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/470, 66/874, 625/819 quickly i.e. 123750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/470, 66/874, 625/819 is 123750.

LCM(45/470, 66/874, 625/819) = 123750

LCM of 45/470, 66/874, 625/819

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 45/470,66/874,625/819

Given numbers are 45/470,66/874,625/819

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 45,66,625

Least Common Multiple of Numerators i.e. LCM of 45,66,625 is 123750.

GCF of Denominators means GCF of 470,874,819 as per the given fractions.

GCF of 470,874,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,66,625

LCM of Fractions 45/470,66/874,625/819 is 123750

3 45, 66, 625
5 15, 22, 625
3, 22, 125

∴ So the LCM of the given numbers is 3 x 5 x 3 x 22 x 125 = 123750

Least Common Multiple of 45,66,625 with GCF Formula

Least Common Multiple of 45,66,625 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 45,66,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,66,625) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(45,66,625) x common factors =1 x 15 = 15

LCM(45,66,625) = ( 45 × 66 × 625 ) / 15

LCM(45,66,625) = 1856250 / 15

LCM(45,66,625) = 123750


Lets's calculate GCF of 470,874,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123750/1

Therefore the LCM of Fractions 45/470,66/874,625/819 is 123750

Greatest Common Factor of 470,874,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,874,819 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 470,874,819 . The biggest common factor number is the GCF number.
So the greatest common factor 470,874,819 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 45/470, 66/874, 625/819

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 45/470, 66/874, 625/819?

Answer: LCM of Numerators as per given numbers 45/470, 66/874, 625/819 is

LCM of Numerators i.e. for 45,66,625 is 123750

GCF of denominators i.e. for 470,874,819 is 1.

Thus, LCM of Fractions is 123750.Finally, LCM of Fractions for 45/470, 66/874, 625/819 is 123750.