Least Common Multiple of 265/817, 492/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 265/817, 492/964 quickly i.e. 130380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/817, 492/964 is 130380.

LCM(265/817, 492/964) = 130380

LCM of 265/817, 492/964

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 265/817,492/964

Given numbers are 265/817,492/964

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 265,492

Least Common Multiple of Numerators i.e. LCM of 265,492 is 130380.

GCF of Denominators means GCF of 817,964 as per the given fractions.

GCF of 817,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,492

LCM of Fractions 265/817,492/964 is 130380

Given numbers has no common factors except 1. So, there LCM is their product i.e 130380

Least Common Multiple of 265,492 with GCF Formula

Least Common Multiple of 265,492 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 265,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,492) = 1

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

GCF(265,492) x common factors =1 x 1 = 1

LCM(265,492) = ( 265 × 492 ) / 1

LCM(265,492) = 130380 / 1

LCM(265,492) = 130380


Lets's calculate GCF of 817,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130380/1

Therefore the LCM of Fractions 265/817,492/964 is 130380

Greatest Common Factor of 817,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,964 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

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 817,964 . The biggest common factor number is the GCF number.
So the greatest common factor 817,964 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 265/817, 492/964

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 265/817, 492/964?

Answer: LCM of Numerators as per given numbers 265/817, 492/964 is

LCM of Numerators i.e. for 265,492 is 130380

GCF of denominators i.e. for 817,964 is 1.

Thus, LCM of Fractions is 130380.Finally, LCM of Fractions for 265/817, 492/964 is 130380.