Least Common Multiple of 17/658, 90/214, 575/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/658, 90/214, 575/522 quickly i.e. 87975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/658, 90/214, 575/522 is 87975.

LCM(17/658, 90/214, 575/522) = 87975

LCM of 17/658, 90/214, 575/522

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 17/658,90/214,575/522

Given numbers are 17/658,90/214,575/522

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 17,90,575

Least Common Multiple of Numerators i.e. LCM of 17,90,575 is 175950.

GCF of Denominators means GCF of 658,214,522 as per the given fractions.

GCF of 658,214,522 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,90,575

LCM of Fractions 17/658,90/214,575/522 is 87975

5 17, 90, 575
17, 18, 115

∴ So the LCM of the given numbers is 5 x 17 x 18 x 115 = 175950

Least Common Multiple of 17,90,575 with GCF Formula

Least Common Multiple of 17,90,575 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 17,90,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,90,575) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(17,90,575) x common factors =1 x 5 = 5

LCM(17,90,575) = ( 17 × 90 × 575 ) / 5

LCM(17,90,575) = 879750 / 5

LCM(17,90,575) = 175950


Lets's calculate GCF of 658,214,522

2 658, 214, 522
329, 107, 261

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175950/2

Therefore the LCM of Fractions 17/658,90/214,575/522 is 87975

Greatest Common Factor of 658,214,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,214,522 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 658,214,522 . The biggest common factor number is the GCF number.
So the greatest common factor 658,214,522 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 17/658, 90/214, 575/522

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 17/658, 90/214, 575/522?

Answer: LCM of Numerators as per given numbers 17/658, 90/214, 575/522 is

LCM of Numerators i.e. for 17,90,575 is 175950

GCF of denominators i.e. for 658,214,522 is 2.

Thus, LCM of Fractions is 87975.Finally, LCM of Fractions for 17/658, 90/214, 575/522 is 87975.