Least Common Multiple of 23/88, 74/84, 74/62, 56/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/88, 74/84, 74/62, 56/668 quickly i.e. 23828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/88, 74/84, 74/62, 56/668 is 23828.

LCM(23/88, 74/84, 74/62, 56/668) = 23828

LCM of 23/88, 74/84, 74/62, 56/668

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 23/88,74/84,74/62,56/668

Given numbers are 23/88,74/84,74/62,56/668

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 23,74,74,56

Least Common Multiple of Numerators i.e. LCM of 23,74,74,56 is 47656.

GCF of Denominators means GCF of 88,84,62,668 as per the given fractions.

GCF of 88,84,62,668 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,74,74,56

LCM of Fractions 23/88,74/84,74/62,56/668 is 23828

2 23, 74, 74, 56
37 23, 37, 37, 28
23, 1, 1, 28

∴ So the LCM of the given numbers is 2 x 37 x 23 x 1 x 1 x 28 = 47656

Least Common Multiple of 23,74,74,56 with GCF Formula

Least Common Multiple of 23,74,74,56 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 23,74,74,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,74,74,56) = 1

common factors(in case of two or more numbers have common factors) = 148

GCF(23,74,74,56) x common factors =1 x 148 = 148

LCM(23,74,74,56) = ( 23 × 74 × 74 × 56 ) / 148

LCM(23,74,74,56) = 7053088 / 148

LCM(23,74,74,56) = 47656


Lets's calculate GCF of 88,84,62,668

2 88, 84, 62, 668
44, 42, 31, 334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47656/2

Therefore the LCM of Fractions 23/88,74/84,74/62,56/668 is 23828

Greatest Common Factor of 88,84,62,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,84,62,668 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 62

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

1,2,31,62

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 88,84,62,668 . The biggest common factor number is the GCF number.
So the greatest common factor 88,84,62,668 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 23/88, 74/84, 74/62, 56/668

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 23/88, 74/84, 74/62, 56/668?

Answer: LCM of Numerators as per given numbers 23/88, 74/84, 74/62, 56/668 is

LCM of Numerators i.e. for 23,74,74,56 is 47656

GCF of denominators i.e. for 88,84,62,668 is 2.

Thus, LCM of Fractions is 23828.Finally, LCM of Fractions for 23/88, 74/84, 74/62, 56/668 is 23828.