Least Common Multiple of 45/633, 36/840, 487/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/633, 36/840, 487/295 quickly i.e. 87660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/633, 36/840, 487/295 is 87660.

LCM(45/633, 36/840, 487/295) = 87660

LCM of 45/633, 36/840, 487/295

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 45/633,36/840,487/295

Given numbers are 45/633,36/840,487/295

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 45,36,487

Least Common Multiple of Numerators i.e. LCM of 45,36,487 is 87660.

GCF of Denominators means GCF of 633,840,295 as per the given fractions.

GCF of 633,840,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,36,487

LCM of Fractions 45/633,36/840,487/295 is 87660

3 45, 36, 487
3 15, 12, 487
5, 4, 487

∴ So the LCM of the given numbers is 3 x 3 x 5 x 4 x 487 = 87660

Least Common Multiple of 45,36,487 with GCF Formula

Least Common Multiple of 45,36,487 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 45,36,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,36,487) = 1

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

GCF(45,36,487) x common factors =1 x 9 = 9

LCM(45,36,487) = ( 45 × 36 × 487 ) / 9

LCM(45,36,487) = 788940 / 9

LCM(45,36,487) = 87660


Lets's calculate GCF of 633,840,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87660/1

Therefore the LCM of Fractions 45/633,36/840,487/295 is 87660

Greatest Common Factor of 633,840,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,840,295 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 633,840,295 . The biggest common factor number is the GCF number.
So the greatest common factor 633,840,295 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 45/633, 36/840, 487/295

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 45/633, 36/840, 487/295?

Answer: LCM of Numerators as per given numbers 45/633, 36/840, 487/295 is

LCM of Numerators i.e. for 45,36,487 is 87660

GCF of denominators i.e. for 633,840,295 is 1.

Thus, LCM of Fractions is 87660.Finally, LCM of Fractions for 45/633, 36/840, 487/295 is 87660.