Least Common Multiple of 45/885, 95/453, 544/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 45/885, 95/453, 544/964 quickly i.e. 465120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/885, 95/453, 544/964 is 465120.

LCM(45/885, 95/453, 544/964) = 465120

LCM of 45/885, 95/453, 544/964

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 45/885,95/453,544/964

Given numbers are 45/885,95/453,544/964

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 45,95,544

Least Common Multiple of Numerators i.e. LCM of 45,95,544 is 465120.

GCF of Denominators means GCF of 885,453,964 as per the given fractions.

GCF of 885,453,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,95,544

LCM of Fractions 45/885,95/453,544/964 is 465120

5 45, 95, 544
9, 19, 544

∴ So the LCM of the given numbers is 5 x 9 x 19 x 544 = 465120

Least Common Multiple of 45,95,544 with GCF Formula

Least Common Multiple of 45,95,544 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 45,95,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,95,544) = 1

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

GCF(45,95,544) x common factors =1 x 5 = 5

LCM(45,95,544) = ( 45 × 95 × 544 ) / 5

LCM(45,95,544) = 2325600 / 5

LCM(45,95,544) = 465120


Lets's calculate GCF of 885,453,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 465120/1

Therefore the LCM of Fractions 45/885,95/453,544/964 is 465120

Greatest Common Factor of 885,453,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,453,964 By Matching Biggest Common Factor Method

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 885,453,964 . The biggest common factor number is the GCF number.
So the greatest common factor 885,453,964 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 45/885, 95/453, 544/964

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 45/885, 95/453, 544/964?

Answer: LCM of Numerators as per given numbers 45/885, 95/453, 544/964 is

LCM of Numerators i.e. for 45,95,544 is 465120

GCF of denominators i.e. for 885,453,964 is 1.

Thus, LCM of Fractions is 465120.Finally, LCM of Fractions for 45/885, 95/453, 544/964 is 465120.