Least Common Multiple of 310/502, 607/440, 234/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/502, 607/440, 234/388 quickly i.e. 11007945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/502, 607/440, 234/388 is 11007945.

LCM(310/502, 607/440, 234/388) = 11007945

LCM of 310/502, 607/440, 234/388

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 310/502,607/440,234/388

Given numbers are 310/502,607/440,234/388

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 310,607,234

Least Common Multiple of Numerators i.e. LCM of 310,607,234 is 22015890.

GCF of Denominators means GCF of 502,440,388 as per the given fractions.

GCF of 502,440,388 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,607,234

LCM of Fractions 310/502,607/440,234/388 is 11007945

2 310, 607, 234
155, 607, 117

∴ So the LCM of the given numbers is 2 x 155 x 607 x 117 = 22015890

Least Common Multiple of 310,607,234 with GCF Formula

Least Common Multiple of 310,607,234 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 310,607,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,607,234) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(310,607,234) x common factors =1 x 2 = 2

LCM(310,607,234) = ( 310 × 607 × 234 ) / 2

LCM(310,607,234) = 44031780 / 2

LCM(310,607,234) = 22015890


Lets's calculate GCF of 502,440,388

2 502, 440, 388
251, 220, 194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22015890/2

Therefore the LCM of Fractions 310/502,607/440,234/388 is 11007945

Greatest Common Factor of 502,440,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,440,388 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 502,440,388 . The biggest common factor number is the GCF number.
So the greatest common factor 502,440,388 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 310/502, 607/440, 234/388

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 310/502, 607/440, 234/388?

Answer: LCM of Numerators as per given numbers 310/502, 607/440, 234/388 is

LCM of Numerators i.e. for 310,607,234 is 22015890

GCF of denominators i.e. for 502,440,388 is 2.

Thus, LCM of Fractions is 11007945.Finally, LCM of Fractions for 310/502, 607/440, 234/388 is 11007945.