Least Common Multiple of 700/466, 8289/8770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 700/466, 8289/8770 quickly i.e. 2901150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/466, 8289/8770 is 2901150.

LCM(700/466, 8289/8770) = 2901150

LCM of 700/466, 8289/8770

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 700/466,8289/8770

Given numbers are 700/466,8289/8770

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 700,8289

Least Common Multiple of Numerators i.e. LCM of 700,8289 is 5802300.

GCF of Denominators means GCF of 466,8770 as per the given fractions.

GCF of 466,8770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,8289

LCM of Fractions 700/466,8289/8770 is 2901150

Given numbers has no common factors except 1. So, there LCM is their product i.e 5802300

Least Common Multiple of 700,8289 with GCF Formula

Least Common Multiple of 700,8289 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 700,8289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,8289) = 1

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

GCF(700,8289) x common factors =1 x 1 = 1

LCM(700,8289) = ( 700 × 8289 ) / 1

LCM(700,8289) = 5802300 / 1

LCM(700,8289) = 5802300


Lets's calculate GCF of 466,8770

2 466, 8770
233, 4385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5802300/2

Therefore the LCM of Fractions 700/466,8289/8770 is 2901150

Greatest Common Factor of 466,8770 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,8770 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 8770

List of positive integer factors of 8770 that divides 8770 without a remainder.

1,2,5,10,877,1754,4385,8770

Greatest Common Factor

We found the factors 466,8770 . The biggest common factor number is the GCF number.
So the greatest common factor 466,8770 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 700/466, 8289/8770

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 700/466, 8289/8770?

Answer: LCM of Numerators as per given numbers 700/466, 8289/8770 is

LCM of Numerators i.e. for 700,8289 is 5802300

GCF of denominators i.e. for 466,8770 is 2.

Thus, LCM of Fractions is 2901150.Finally, LCM of Fractions for 700/466, 8289/8770 is 2901150.