Least Common Multiple of 67/74, 63/72, 313/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/74, 63/72, 313/969 quickly i.e. 1321173 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/74, 63/72, 313/969 is 1321173.

LCM(67/74, 63/72, 313/969) = 1321173

LCM of 67/74, 63/72, 313/969

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 67/74,63/72,313/969

Given numbers are 67/74,63/72,313/969

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 67,63,313

Least Common Multiple of Numerators i.e. LCM of 67,63,313 is 1321173.

GCF of Denominators means GCF of 74,72,969 as per the given fractions.

GCF of 74,72,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,63,313

LCM of Fractions 67/74,63/72,313/969 is 1321173

Given numbers has no common factors except 1. So, there LCM is their product i.e 1321173

Least Common Multiple of 67,63,313 with GCF Formula

Least Common Multiple of 67,63,313 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 67,63,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,63,313) = 1

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

GCF(67,63,313) x common factors =1 x 1 = 1

LCM(67,63,313) = ( 67 × 63 × 313 ) / 1

LCM(67,63,313) = 1321173 / 1

LCM(67,63,313) = 1321173


Lets's calculate GCF of 74,72,969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1321173/1

Therefore the LCM of Fractions 67/74,63/72,313/969 is 1321173

Greatest Common Factor of 74,72,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,72,969 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 74,72,969 . The biggest common factor number is the GCF number.
So the greatest common factor 74,72,969 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 67/74, 63/72, 313/969

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 67/74, 63/72, 313/969?

Answer: LCM of Numerators as per given numbers 67/74, 63/72, 313/969 is

LCM of Numerators i.e. for 67,63,313 is 1321173

GCF of denominators i.e. for 74,72,969 is 1.

Thus, LCM of Fractions is 1321173.Finally, LCM of Fractions for 67/74, 63/72, 313/969 is 1321173.