Least Common Multiple of 97/310, 67/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/310, 67/494 quickly i.e. 6499/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/310, 67/494 is 6499/2.

LCM(97/310, 67/494) = 6499/2

LCM of 97/310, 67/494

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 97/310,67/494

Given numbers are 97/310,67/494

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 97,67

Least Common Multiple of Numerators i.e. LCM of 97,67 is 6499.

GCF of Denominators means GCF of 310,494 as per the given fractions.

GCF of 310,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,67

LCM of Fractions 97/310,67/494 is 6499/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 6499

Least Common Multiple of 97,67 with GCF Formula

Least Common Multiple of 97,67 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 97,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,67) = 1

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

GCF(97,67) x common factors =1 x 1 = 1

LCM(97,67) = ( 97 × 67 ) / 1

LCM(97,67) = 6499 / 1

LCM(97,67) = 6499


Lets's calculate GCF of 310,494

2 310, 494
155, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6499/2

Therefore the LCM of Fractions 97/310,67/494 is 6499/2

Greatest Common Factor of 310,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,494 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 310,494 . The biggest common factor number is the GCF number.
So the greatest common factor 310,494 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 97/310, 67/494

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 97/310, 67/494?

Answer: LCM of Numerators as per given numbers 97/310, 67/494 is

LCM of Numerators i.e. for 97,67 is 6499

GCF of denominators i.e. for 310,494 is 2.

Thus, LCM of Fractions is 6499/2.Finally, LCM of Fractions for 97/310, 67/494 is 6499/2.