Least Common Multiple of 44/44, 59/46, 92/62, 69/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/44, 59/46, 92/62, 69/648 quickly i.e. 89562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/44, 59/46, 92/62, 69/648 is 89562.

LCM(44/44, 59/46, 92/62, 69/648) = 89562

LCM of 44/44, 59/46, 92/62, 69/648

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 44/44,59/46,92/62,69/648

Given numbers are 44/44,59/46,92/62,69/648

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 44,59,92,69

Least Common Multiple of Numerators i.e. LCM of 44,59,92,69 is 179124.

GCF of Denominators means GCF of 44,46,62,648 as per the given fractions.

GCF of 44,46,62,648 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,59,92,69

LCM of Fractions 44/44,59/46,92/62,69/648 is 89562

2 44, 59, 92, 69
2 22, 59, 46, 69
23 11, 59, 23, 69
11, 59, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 23 x 11 x 59 x 1 x 3 = 179124

Least Common Multiple of 44,59,92,69 with GCF Formula

Least Common Multiple of 44,59,92,69 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 44,59,92,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,59,92,69) = 1

common factors(in case of two or more numbers have common factors) = 92

GCF(44,59,92,69) x common factors =1 x 92 = 92

LCM(44,59,92,69) = ( 44 × 59 × 92 × 69 ) / 92

LCM(44,59,92,69) = 16479408 / 92

LCM(44,59,92,69) = 179124


Lets's calculate GCF of 44,46,62,648

2 44, 46, 62, 648
22, 23, 31, 324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179124/2

Therefore the LCM of Fractions 44/44,59/46,92/62,69/648 is 89562

Greatest Common Factor of 44,46,62,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,46,62,648 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 44,46,62,648 . The biggest common factor number is the GCF number.
So the greatest common factor 44,46,62,648 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 44/44, 59/46, 92/62, 69/648

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 44/44, 59/46, 92/62, 69/648?

Answer: LCM of Numerators as per given numbers 44/44, 59/46, 92/62, 69/648 is

LCM of Numerators i.e. for 44,59,92,69 is 179124

GCF of denominators i.e. for 44,46,62,648 is 2.

Thus, LCM of Fractions is 89562.Finally, LCM of Fractions for 44/44, 59/46, 92/62, 69/648 is 89562.