Least Common Multiple of 495/917, 877/507, 509/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 495/917, 877/507, 509/425 quickly i.e. 220964535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/917, 877/507, 509/425 is 220964535.

LCM(495/917, 877/507, 509/425) = 220964535

LCM of 495/917, 877/507, 509/425

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 495/917,877/507,509/425

Given numbers are 495/917,877/507,509/425

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 495,877,509

Least Common Multiple of Numerators i.e. LCM of 495,877,509 is 220964535.

GCF of Denominators means GCF of 917,507,425 as per the given fractions.

GCF of 917,507,425 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,877,509

LCM of Fractions 495/917,877/507,509/425 is 220964535

Given numbers has no common factors except 1. So, there LCM is their product i.e 220964535

Least Common Multiple of 495,877,509 with GCF Formula

Least Common Multiple of 495,877,509 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 495,877,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,877,509) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(495,877,509) x common factors =1 x 1 = 1

LCM(495,877,509) = ( 495 × 877 × 509 ) / 1

LCM(495,877,509) = 220964535 / 1

LCM(495,877,509) = 220964535


Lets's calculate GCF of 917,507,425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220964535/1

Therefore the LCM of Fractions 495/917,877/507,509/425 is 220964535

Greatest Common Factor of 917,507,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,507,425 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 917,507,425 . The biggest common factor number is the GCF number.
So the greatest common factor 917,507,425 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 495/917, 877/507, 509/425

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 495/917, 877/507, 509/425?

Answer: LCM of Numerators as per given numbers 495/917, 877/507, 509/425 is

LCM of Numerators i.e. for 495,877,509 is 220964535

GCF of denominators i.e. for 917,507,425 is 1.

Thus, LCM of Fractions is 220964535.Finally, LCM of Fractions for 495/917, 877/507, 509/425 is 220964535.