Least Common Multiple of 45/437, 45/979, 953/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/437, 45/979, 953/812 quickly i.e. 42885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/437, 45/979, 953/812 is 42885.

LCM(45/437, 45/979, 953/812) = 42885

LCM of 45/437, 45/979, 953/812

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 45/437,45/979,953/812

Given numbers are 45/437,45/979,953/812

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 45,45,953

Least Common Multiple of Numerators i.e. LCM of 45,45,953 is 42885.

GCF of Denominators means GCF of 437,979,812 as per the given fractions.

GCF of 437,979,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,45,953

LCM of Fractions 45/437,45/979,953/812 is 42885

3 45, 45, 953
3 15, 15, 953
5 5, 5, 953
1, 1, 953

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 1 x 953 = 42885

Least Common Multiple of 45,45,953 with GCF Formula

Least Common Multiple of 45,45,953 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 45,45,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,45,953) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(45,45,953) x common factors =1 x 45 = 45

LCM(45,45,953) = ( 45 × 45 × 953 ) / 45

LCM(45,45,953) = 1929825 / 45

LCM(45,45,953) = 42885


Lets's calculate GCF of 437,979,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42885/1

Therefore the LCM of Fractions 45/437,45/979,953/812 is 42885

Greatest Common Factor of 437,979,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,979,812 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 437,979,812 . The biggest common factor number is the GCF number.
So the greatest common factor 437,979,812 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 45/437, 45/979, 953/812

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 45/437, 45/979, 953/812?

Answer: LCM of Numerators as per given numbers 45/437, 45/979, 953/812 is

LCM of Numerators i.e. for 45,45,953 is 42885

GCF of denominators i.e. for 437,979,812 is 1.

Thus, LCM of Fractions is 42885.Finally, LCM of Fractions for 45/437, 45/979, 953/812 is 42885.