Least Common Multiple of 44/51, 49/68, 34/40, 34/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/51, 49/68, 34/40, 34/788 quickly i.e. 36652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/51, 49/68, 34/40, 34/788 is 36652.

LCM(44/51, 49/68, 34/40, 34/788) = 36652

LCM of 44/51, 49/68, 34/40, 34/788

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 44/51,49/68,34/40,34/788

Given numbers are 44/51,49/68,34/40,34/788

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 44,49,34,34

Least Common Multiple of Numerators i.e. LCM of 44,49,34,34 is 36652.

GCF of Denominators means GCF of 51,68,40,788 as per the given fractions.

GCF of 51,68,40,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,49,34,34

LCM of Fractions 44/51,49/68,34/40,34/788 is 36652

2 44, 49, 34, 34
17 22, 49, 17, 17
22, 49, 1, 1

∴ So the LCM of the given numbers is 2 x 17 x 22 x 49 x 1 x 1 = 36652

Least Common Multiple of 44,49,34,34 with GCF Formula

Least Common Multiple of 44,49,34,34 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 44,49,34,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,49,34,34) = 1

common factors(in case of two or more numbers have common factors) = 68

GCF(44,49,34,34) x common factors =1 x 68 = 68

LCM(44,49,34,34) = ( 44 × 49 × 34 × 34 ) / 68

LCM(44,49,34,34) = 2492336 / 68

LCM(44,49,34,34) = 36652


Lets's calculate GCF of 51,68,40,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36652/1

Therefore the LCM of Fractions 44/51,49/68,34/40,34/788 is 36652

Greatest Common Factor of 51,68,40,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,68,40,788 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 51,68,40,788 . The biggest common factor number is the GCF number.
So the greatest common factor 51,68,40,788 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 44/51, 49/68, 34/40, 34/788

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 44/51, 49/68, 34/40, 34/788?

Answer: LCM of Numerators as per given numbers 44/51, 49/68, 34/40, 34/788 is

LCM of Numerators i.e. for 44,49,34,34 is 36652

GCF of denominators i.e. for 51,68,40,788 is 1.

Thus, LCM of Fractions is 36652.Finally, LCM of Fractions for 44/51, 49/68, 34/40, 34/788 is 36652.