Least Common Multiple of 68/67, 37/493, 619/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/67, 37/493, 619/836 quickly i.e. 1557404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/67, 37/493, 619/836 is 1557404.

LCM(68/67, 37/493, 619/836) = 1557404

LCM of 68/67, 37/493, 619/836

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 68/67,37/493,619/836

Given numbers are 68/67,37/493,619/836

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 68,37,619

Least Common Multiple of Numerators i.e. LCM of 68,37,619 is 1557404.

GCF of Denominators means GCF of 67,493,836 as per the given fractions.

GCF of 67,493,836 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,37,619

LCM of Fractions 68/67,37/493,619/836 is 1557404

Given numbers has no common factors except 1. So, there LCM is their product i.e 1557404

Least Common Multiple of 68,37,619 with GCF Formula

Least Common Multiple of 68,37,619 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 68,37,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,37,619) = 1

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

GCF(68,37,619) x common factors =1 x 1 = 1

LCM(68,37,619) = ( 68 × 37 × 619 ) / 1

LCM(68,37,619) = 1557404 / 1

LCM(68,37,619) = 1557404


Lets's calculate GCF of 67,493,836

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1557404/1

Therefore the LCM of Fractions 68/67,37/493,619/836 is 1557404

Greatest Common Factor of 67,493,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,493,836 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 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 67,493,836 . The biggest common factor number is the GCF number.
So the greatest common factor 67,493,836 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 68/67, 37/493, 619/836

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 68/67, 37/493, 619/836?

Answer: LCM of Numerators as per given numbers 68/67, 37/493, 619/836 is

LCM of Numerators i.e. for 68,37,619 is 1557404

GCF of denominators i.e. for 67,493,836 is 1.

Thus, LCM of Fractions is 1557404.Finally, LCM of Fractions for 68/67, 37/493, 619/836 is 1557404.