Least Common Multiple of 266/768, 9705/4250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 266/768, 9705/4250 quickly i.e. 1290765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 266/768, 9705/4250 is 1290765.

LCM(266/768, 9705/4250) = 1290765

LCM of 266/768, 9705/4250

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 266/768,9705/4250

Given numbers are 266/768,9705/4250

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 266,9705

Least Common Multiple of Numerators i.e. LCM of 266,9705 is 2581530.

GCF of Denominators means GCF of 768,4250 as per the given fractions.

GCF of 768,4250 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 266,9705

LCM of Fractions 266/768,9705/4250 is 1290765

Given numbers has no common factors except 1. So, there LCM is their product i.e 2581530

Least Common Multiple of 266,9705 with GCF Formula

Least Common Multiple of 266,9705 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 266,9705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,9705) = 1

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

GCF(266,9705) x common factors =1 x 1 = 1

LCM(266,9705) = ( 266 × 9705 ) / 1

LCM(266,9705) = 2581530 / 1

LCM(266,9705) = 2581530


Lets's calculate GCF of 768,4250

2 768, 4250
384, 2125

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2581530/2

Therefore the LCM of Fractions 266/768,9705/4250 is 1290765

Greatest Common Factor of 768,4250 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,4250 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 4250

List of positive integer factors of 4250 that divides 4250 without a remainder.

1,2,5,10,17,25,34,50,85,125,170,250,425,850,2125,4250

Greatest Common Factor

We found the factors 768,4250 . The biggest common factor number is the GCF number.
So the greatest common factor 768,4250 is 2.


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 266/768, 9705/4250

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 266/768, 9705/4250?

Answer: LCM of Numerators as per given numbers 266/768, 9705/4250 is

LCM of Numerators i.e. for 266,9705 is 2581530

GCF of denominators i.e. for 768,4250 is 2.

Thus, LCM of Fractions is 1290765.Finally, LCM of Fractions for 266/768, 9705/4250 is 1290765.