Least Common Multiple of 609/67, 986/42, 538/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 609/67, 986/42, 538/837 quickly i.e. 5569914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 609/67, 986/42, 538/837 is 5569914.

LCM(609/67, 986/42, 538/837) = 5569914

LCM of 609/67, 986/42, 538/837

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 609/67,986/42,538/837

Given numbers are 609/67,986/42,538/837

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 609,986,538

Least Common Multiple of Numerators i.e. LCM of 609,986,538 is 5569914.

GCF of Denominators means GCF of 67,42,837 as per the given fractions.

GCF of 67,42,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 609,986,538

LCM of Fractions 609/67,986/42,538/837 is 5569914

2 609, 986, 538
29 609, 493, 269
21, 17, 269

∴ So the LCM of the given numbers is 2 x 29 x 21 x 17 x 269 = 5569914

Least Common Multiple of 609,986,538 with GCF Formula

Least Common Multiple of 609,986,538 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 609,986,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,986,538) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(609,986,538) x common factors =1 x 58 = 58

LCM(609,986,538) = ( 609 × 986 × 538 ) / 58

LCM(609,986,538) = 323055012 / 58

LCM(609,986,538) = 5569914


Lets's calculate GCF of 67,42,837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5569914/1

Therefore the LCM of Fractions 609/67,986/42,538/837 is 5569914

Greatest Common Factor of 67,42,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,42,837 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 67,42,837 . The biggest common factor number is the GCF number.
So the greatest common factor 67,42,837 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 609/67, 986/42, 538/837

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 609/67, 986/42, 538/837?

Answer: LCM of Numerators as per given numbers 609/67, 986/42, 538/837 is

LCM of Numerators i.e. for 609,986,538 is 5569914

GCF of denominators i.e. for 67,42,837 is 1.

Thus, LCM of Fractions is 5569914.Finally, LCM of Fractions for 609/67, 986/42, 538/837 is 5569914.