Least Common Multiple of 30/708, 70/200, 655/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/708, 70/200, 655/171 quickly i.e. 27510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/708, 70/200, 655/171 is 27510.

LCM(30/708, 70/200, 655/171) = 27510

LCM of 30/708, 70/200, 655/171

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 30/708,70/200,655/171

Given numbers are 30/708,70/200,655/171

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 30,70,655

Least Common Multiple of Numerators i.e. LCM of 30,70,655 is 27510.

GCF of Denominators means GCF of 708,200,171 as per the given fractions.

GCF of 708,200,171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,70,655

LCM of Fractions 30/708,70/200,655/171 is 27510

2 30, 70, 655
5 15, 35, 655
3, 7, 131

∴ So the LCM of the given numbers is 2 x 5 x 3 x 7 x 131 = 27510

Least Common Multiple of 30,70,655 with GCF Formula

Least Common Multiple of 30,70,655 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 30,70,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,70,655) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(30,70,655) x common factors =5 x 10 = 50

LCM(30,70,655) = ( 30 × 70 × 655 ) / 50

LCM(30,70,655) = 1375500 / 50

LCM(30,70,655) = 27510


Lets's calculate GCF of 708,200,171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27510/1

Therefore the LCM of Fractions 30/708,70/200,655/171 is 27510

Greatest Common Factor of 708,200,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,200,171 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 708,200,171 . The biggest common factor number is the GCF number.
So the greatest common factor 708,200,171 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 30/708, 70/200, 655/171

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 30/708, 70/200, 655/171?

Answer: LCM of Numerators as per given numbers 30/708, 70/200, 655/171 is

LCM of Numerators i.e. for 30,70,655 is 27510

GCF of denominators i.e. for 708,200,171 is 1.

Thus, LCM of Fractions is 27510.Finally, LCM of Fractions for 30/708, 70/200, 655/171 is 27510.