Least Common Multiple of 77/68, 54/74, 37/28, 17/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/68, 54/74, 37/28, 17/244 quickly i.e. 1307691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/68, 54/74, 37/28, 17/244 is 1307691.

LCM(77/68, 54/74, 37/28, 17/244) = 1307691

LCM of 77/68, 54/74, 37/28, 17/244

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 77/68,54/74,37/28,17/244

Given numbers are 77/68,54/74,37/28,17/244

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 77,54,37,17

Least Common Multiple of Numerators i.e. LCM of 77,54,37,17 is 2615382.

GCF of Denominators means GCF of 68,74,28,244 as per the given fractions.

GCF of 68,74,28,244 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,54,37,17

LCM of Fractions 77/68,54/74,37/28,17/244 is 1307691

Given numbers has no common factors except 1. So, there LCM is their product i.e 2615382

Least Common Multiple of 77,54,37,17 with GCF Formula

Least Common Multiple of 77,54,37,17 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 77,54,37,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,54,37,17) = 1

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

GCF(77,54,37,17) x common factors =1 x 1 = 1

LCM(77,54,37,17) = ( 77 × 54 × 37 × 17 ) / 1

LCM(77,54,37,17) = 2615382 / 1

LCM(77,54,37,17) = 2615382


Lets's calculate GCF of 68,74,28,244

2 68, 74, 28, 244
34, 37, 14, 122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2615382/2

Therefore the LCM of Fractions 77/68,54/74,37/28,17/244 is 1307691

Greatest Common Factor of 68,74,28,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,74,28,244 By Matching Biggest Common Factor Method

Factors of 68

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

1,2,4,17,34,68

Factors of 74

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

1,2,37,74

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 68,74,28,244 . The biggest common factor number is the GCF number.
So the greatest common factor 68,74,28,244 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 77/68, 54/74, 37/28, 17/244

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 77/68, 54/74, 37/28, 17/244?

Answer: LCM of Numerators as per given numbers 77/68, 54/74, 37/28, 17/244 is

LCM of Numerators i.e. for 77,54,37,17 is 2615382

GCF of denominators i.e. for 68,74,28,244 is 2.

Thus, LCM of Fractions is 1307691.Finally, LCM of Fractions for 77/68, 54/74, 37/28, 17/244 is 1307691.