Least Common Multiple of 734/218, 520/933, 499/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/218, 520/933, 499/753 quickly i.e. 95229160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/218, 520/933, 499/753 is 95229160.

LCM(734/218, 520/933, 499/753) = 95229160

LCM of 734/218, 520/933, 499/753

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 734/218,520/933,499/753

Given numbers are 734/218,520/933,499/753

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 734,520,499

Least Common Multiple of Numerators i.e. LCM of 734,520,499 is 95229160.

GCF of Denominators means GCF of 218,933,753 as per the given fractions.

GCF of 218,933,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,520,499

LCM of Fractions 734/218,520/933,499/753 is 95229160

2 734, 520, 499
367, 260, 499

∴ So the LCM of the given numbers is 2 x 367 x 260 x 499 = 95229160

Least Common Multiple of 734,520,499 with GCF Formula

Least Common Multiple of 734,520,499 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 734,520,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,520,499) = 1

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

GCF(734,520,499) x common factors =1 x 2 = 2

LCM(734,520,499) = ( 734 × 520 × 499 ) / 2

LCM(734,520,499) = 190458320 / 2

LCM(734,520,499) = 95229160


Lets's calculate GCF of 218,933,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95229160/1

Therefore the LCM of Fractions 734/218,520/933,499/753 is 95229160

Greatest Common Factor of 218,933,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,933,753 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 218,933,753 . The biggest common factor number is the GCF number.
So the greatest common factor 218,933,753 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 734/218, 520/933, 499/753

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 734/218, 520/933, 499/753?

Answer: LCM of Numerators as per given numbers 734/218, 520/933, 499/753 is

LCM of Numerators i.e. for 734,520,499 is 95229160

GCF of denominators i.e. for 218,933,753 is 1.

Thus, LCM of Fractions is 95229160.Finally, LCM of Fractions for 734/218, 520/933, 499/753 is 95229160.