Least Common Multiple of 365/45, 495/86, 957/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 365/45, 495/86, 957/977 quickly i.e. 1047915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 365/45, 495/86, 957/977 is 1047915.

LCM(365/45, 495/86, 957/977) = 1047915

LCM of 365/45, 495/86, 957/977

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 365/45,495/86,957/977

Given numbers are 365/45,495/86,957/977

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 365,495,957

Least Common Multiple of Numerators i.e. LCM of 365,495,957 is 1047915.

GCF of Denominators means GCF of 45,86,977 as per the given fractions.

GCF of 45,86,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 365,495,957

LCM of Fractions 365/45,495/86,957/977 is 1047915

3 365, 495, 957
5 365, 165, 319
11 73, 33, 319
73, 3, 29

∴ So the LCM of the given numbers is 3 x 5 x 11 x 73 x 3 x 29 = 1047915

Least Common Multiple of 365,495,957 with GCF Formula

Least Common Multiple of 365,495,957 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 365,495,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,495,957) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(365,495,957) x common factors =1 x 165 = 165

LCM(365,495,957) = ( 365 × 495 × 957 ) / 165

LCM(365,495,957) = 172905975 / 165

LCM(365,495,957) = 1047915


Lets's calculate GCF of 45,86,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1047915/1

Therefore the LCM of Fractions 365/45,495/86,957/977 is 1047915

Greatest Common Factor of 45,86,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,86,977 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 45,86,977 . The biggest common factor number is the GCF number.
So the greatest common factor 45,86,977 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 365/45, 495/86, 957/977

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 365/45, 495/86, 957/977?

Answer: LCM of Numerators as per given numbers 365/45, 495/86, 957/977 is

LCM of Numerators i.e. for 365,495,957 is 1047915

GCF of denominators i.e. for 45,86,977 is 1.

Thus, LCM of Fractions is 1047915.Finally, LCM of Fractions for 365/45, 495/86, 957/977 is 1047915.