Least Common Multiple of 88/614, 93/252, 596/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/614, 93/252, 596/608 quickly i.e. 609708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/614, 93/252, 596/608 is 609708.

LCM(88/614, 93/252, 596/608) = 609708

LCM of 88/614, 93/252, 596/608

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 88/614,93/252,596/608

Given numbers are 88/614,93/252,596/608

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 88,93,596

Least Common Multiple of Numerators i.e. LCM of 88,93,596 is 1219416.

GCF of Denominators means GCF of 614,252,608 as per the given fractions.

GCF of 614,252,608 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,93,596

LCM of Fractions 88/614,93/252,596/608 is 609708

2 88, 93, 596
2 44, 93, 298
22, 93, 149

∴ So the LCM of the given numbers is 2 x 2 x 22 x 93 x 149 = 1219416

Least Common Multiple of 88,93,596 with GCF Formula

Least Common Multiple of 88,93,596 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 88,93,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,93,596) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(88,93,596) x common factors =1 x 4 = 4

LCM(88,93,596) = ( 88 × 93 × 596 ) / 4

LCM(88,93,596) = 4877664 / 4

LCM(88,93,596) = 1219416


Lets's calculate GCF of 614,252,608

2 614, 252, 608
307, 126, 304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1219416/2

Therefore the LCM of Fractions 88/614,93/252,596/608 is 609708

Greatest Common Factor of 614,252,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,252,608 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 614,252,608 . The biggest common factor number is the GCF number.
So the greatest common factor 614,252,608 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 88/614, 93/252, 596/608

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 88/614, 93/252, 596/608?

Answer: LCM of Numerators as per given numbers 88/614, 93/252, 596/608 is

LCM of Numerators i.e. for 88,93,596 is 1219416

GCF of denominators i.e. for 614,252,608 is 2.

Thus, LCM of Fractions is 609708.Finally, LCM of Fractions for 88/614, 93/252, 596/608 is 609708.