Least Common Multiple of 44/743, 61/274, 969/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/743, 61/274, 969/462 quickly i.e. 2600796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/743, 61/274, 969/462 is 2600796.

LCM(44/743, 61/274, 969/462) = 2600796

LCM of 44/743, 61/274, 969/462

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 44/743,61/274,969/462

Given numbers are 44/743,61/274,969/462

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 44,61,969

Least Common Multiple of Numerators i.e. LCM of 44,61,969 is 2600796.

GCF of Denominators means GCF of 743,274,462 as per the given fractions.

GCF of 743,274,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,61,969

LCM of Fractions 44/743,61/274,969/462 is 2600796

Given numbers has no common factors except 1. So, there LCM is their product i.e 2600796

Least Common Multiple of 44,61,969 with GCF Formula

Least Common Multiple of 44,61,969 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 44,61,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,61,969) = 1

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

GCF(44,61,969) x common factors =1 x 1 = 1

LCM(44,61,969) = ( 44 × 61 × 969 ) / 1

LCM(44,61,969) = 2600796 / 1

LCM(44,61,969) = 2600796


Lets's calculate GCF of 743,274,462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2600796/1

Therefore the LCM of Fractions 44/743,61/274,969/462 is 2600796

Greatest Common Factor of 743,274,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,274,462 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 743,274,462 . The biggest common factor number is the GCF number.
So the greatest common factor 743,274,462 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 44/743, 61/274, 969/462

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 44/743, 61/274, 969/462?

Answer: LCM of Numerators as per given numbers 44/743, 61/274, 969/462 is

LCM of Numerators i.e. for 44,61,969 is 2600796

GCF of denominators i.e. for 743,274,462 is 1.

Thus, LCM of Fractions is 2600796.Finally, LCM of Fractions for 44/743, 61/274, 969/462 is 2600796.