Least Common Multiple of 700/89, 443/13, 283/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 700/89, 443/13, 283/661 quickly i.e. 87758300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/89, 443/13, 283/661 is 87758300.

LCM(700/89, 443/13, 283/661) = 87758300

LCM of 700/89, 443/13, 283/661

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 700/89,443/13,283/661

Given numbers are 700/89,443/13,283/661

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 700,443,283

Least Common Multiple of Numerators i.e. LCM of 700,443,283 is 87758300.

GCF of Denominators means GCF of 89,13,661 as per the given fractions.

GCF of 89,13,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,443,283

LCM of Fractions 700/89,443/13,283/661 is 87758300

Given numbers has no common factors except 1. So, there LCM is their product i.e 87758300

Least Common Multiple of 700,443,283 with GCF Formula

Least Common Multiple of 700,443,283 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 700,443,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,443,283) = 1

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

GCF(700,443,283) x common factors =1 x 1 = 1

LCM(700,443,283) = ( 700 × 443 × 283 ) / 1

LCM(700,443,283) = 87758300 / 1

LCM(700,443,283) = 87758300


Lets's calculate GCF of 89,13,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87758300/1

Therefore the LCM of Fractions 700/89,443/13,283/661 is 87758300

Greatest Common Factor of 89,13,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,13,661 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 89,13,661 . The biggest common factor number is the GCF number.
So the greatest common factor 89,13,661 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 700/89, 443/13, 283/661

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 700/89, 443/13, 283/661?

Answer: LCM of Numerators as per given numbers 700/89, 443/13, 283/661 is

LCM of Numerators i.e. for 700,443,283 is 87758300

GCF of denominators i.e. for 89,13,661 is 1.

Thus, LCM of Fractions is 87758300.Finally, LCM of Fractions for 700/89, 443/13, 283/661 is 87758300.