Least Common Multiple of 217/651, 4180/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/651, 4180/488 quickly i.e. 907060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/651, 4180/488 is 907060.

LCM(217/651, 4180/488) = 907060

LCM of 217/651, 4180/488

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 217/651,4180/488

Given numbers are 217/651,4180/488

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 217,4180

Least Common Multiple of Numerators i.e. LCM of 217,4180 is 907060.

GCF of Denominators means GCF of 651,488 as per the given fractions.

GCF of 651,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,4180

LCM of Fractions 217/651,4180/488 is 907060

Given numbers has no common factors except 1. So, there LCM is their product i.e 907060

Least Common Multiple of 217,4180 with GCF Formula

Least Common Multiple of 217,4180 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 217,4180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,4180) = 1

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

GCF(217,4180) x common factors =1 x 1 = 1

LCM(217,4180) = ( 217 × 4180 ) / 1

LCM(217,4180) = 907060 / 1

LCM(217,4180) = 907060


Lets's calculate GCF of 651,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 907060/1

Therefore the LCM of Fractions 217/651,4180/488 is 907060

Greatest Common Factor of 651,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,488 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 651,488 . The biggest common factor number is the GCF number.
So the greatest common factor 651,488 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 217/651, 4180/488

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 217/651, 4180/488?

Answer: LCM of Numerators as per given numbers 217/651, 4180/488 is

LCM of Numerators i.e. for 217,4180 is 907060

GCF of denominators i.e. for 651,488 is 1.

Thus, LCM of Fractions is 907060.Finally, LCM of Fractions for 217/651, 4180/488 is 907060.