Least Common Multiple of 8509/257, 9263/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8509/257, 9263/977 quickly i.e. 78818867 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8509/257, 9263/977 is 78818867.

LCM(8509/257, 9263/977) = 78818867

LCM of 8509/257, 9263/977

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 8509/257,9263/977

Given numbers are 8509/257,9263/977

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 8509,9263

Least Common Multiple of Numerators i.e. LCM of 8509,9263 is 78818867.

GCF of Denominators means GCF of 257,977 as per the given fractions.

GCF of 257,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8509,9263

LCM of Fractions 8509/257,9263/977 is 78818867

Given numbers has no common factors except 1. So, there LCM is their product i.e 78818867

Least Common Multiple of 8509,9263 with GCF Formula

Least Common Multiple of 8509,9263 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 8509,9263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8509,9263) = 1

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

GCF(8509,9263) x common factors =1 x 1 = 1

LCM(8509,9263) = ( 8509 × 9263 ) / 1

LCM(8509,9263) = 78818867 / 1

LCM(8509,9263) = 78818867


Lets's calculate GCF of 257,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78818867/1

Therefore the LCM of Fractions 8509/257,9263/977 is 78818867

Greatest Common Factor of 257,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,977 By Matching Biggest Common Factor Method

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

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 257,977 . The biggest common factor number is the GCF number.
So the greatest common factor 257,977 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 8509/257, 9263/977

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 8509/257, 9263/977?

Answer: LCM of Numerators as per given numbers 8509/257, 9263/977 is

LCM of Numerators i.e. for 8509,9263 is 78818867

GCF of denominators i.e. for 257,977 is 1.

Thus, LCM of Fractions is 78818867.Finally, LCM of Fractions for 8509/257, 9263/977 is 78818867.