Least Common Multiple of 497/89, 414/28, 662/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 497/89, 414/28, 662/532 quickly i.e. 68105898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 497/89, 414/28, 662/532 is 68105898.

LCM(497/89, 414/28, 662/532) = 68105898

LCM of 497/89, 414/28, 662/532

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 497/89,414/28,662/532

Given numbers are 497/89,414/28,662/532

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 497,414,662

Least Common Multiple of Numerators i.e. LCM of 497,414,662 is 68105898.

GCF of Denominators means GCF of 89,28,532 as per the given fractions.

GCF of 89,28,532 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 497,414,662

LCM of Fractions 497/89,414/28,662/532 is 68105898

2 497, 414, 662
497, 207, 331

∴ So the LCM of the given numbers is 2 x 497 x 207 x 331 = 68105898

Least Common Multiple of 497,414,662 with GCF Formula

Least Common Multiple of 497,414,662 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 497,414,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,414,662) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(497,414,662) x common factors =1 x 2 = 2

LCM(497,414,662) = ( 497 × 414 × 662 ) / 2

LCM(497,414,662) = 136211796 / 2

LCM(497,414,662) = 68105898


Lets's calculate GCF of 89,28,532

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68105898/1

Therefore the LCM of Fractions 497/89,414/28,662/532 is 68105898

Greatest Common Factor of 89,28,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,28,532 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 89,28,532 . The biggest common factor number is the GCF number.
So the greatest common factor 89,28,532 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 497/89, 414/28, 662/532

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 497/89, 414/28, 662/532?

Answer: LCM of Numerators as per given numbers 497/89, 414/28, 662/532 is

LCM of Numerators i.e. for 497,414,662 is 68105898

GCF of denominators i.e. for 89,28,532 is 1.

Thus, LCM of Fractions is 68105898.Finally, LCM of Fractions for 497/89, 414/28, 662/532 is 68105898.