Least Common Multiple of 80/700, 81/584, 301/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/700, 81/584, 301/711 quickly i.e. 1950480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/700, 81/584, 301/711 is 1950480.

LCM(80/700, 81/584, 301/711) = 1950480

LCM of 80/700, 81/584, 301/711

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 80/700,81/584,301/711

Given numbers are 80/700,81/584,301/711

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 80,81,301

Least Common Multiple of Numerators i.e. LCM of 80,81,301 is 1950480.

GCF of Denominators means GCF of 700,584,711 as per the given fractions.

GCF of 700,584,711 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,81,301

LCM of Fractions 80/700,81/584,301/711 is 1950480

Given numbers has no common factors except 1. So, there LCM is their product i.e 1950480

Least Common Multiple of 80,81,301 with GCF Formula

Least Common Multiple of 80,81,301 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 80,81,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,81,301) = 1

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

GCF(80,81,301) x common factors =1 x 1 = 1

LCM(80,81,301) = ( 80 × 81 × 301 ) / 1

LCM(80,81,301) = 1950480 / 1

LCM(80,81,301) = 1950480


Lets's calculate GCF of 700,584,711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1950480/1

Therefore the LCM of Fractions 80/700,81/584,301/711 is 1950480

Greatest Common Factor of 700,584,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,584,711 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 700,584,711 . The biggest common factor number is the GCF number.
So the greatest common factor 700,584,711 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 80/700, 81/584, 301/711

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 80/700, 81/584, 301/711?

Answer: LCM of Numerators as per given numbers 80/700, 81/584, 301/711 is

LCM of Numerators i.e. for 80,81,301 is 1950480

GCF of denominators i.e. for 700,584,711 is 1.

Thus, LCM of Fractions is 1950480.Finally, LCM of Fractions for 80/700, 81/584, 301/711 is 1950480.