Least Common Multiple of 668/268, 475/929, 226/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 668/268, 475/929, 226/502 quickly i.e. 35854900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/268, 475/929, 226/502 is 35854900.

LCM(668/268, 475/929, 226/502) = 35854900

LCM of 668/268, 475/929, 226/502

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 668/268,475/929,226/502

Given numbers are 668/268,475/929,226/502

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 668,475,226

Least Common Multiple of Numerators i.e. LCM of 668,475,226 is 35854900.

GCF of Denominators means GCF of 268,929,502 as per the given fractions.

GCF of 268,929,502 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,475,226

LCM of Fractions 668/268,475/929,226/502 is 35854900

2 668, 475, 226
334, 475, 113

∴ So the LCM of the given numbers is 2 x 334 x 475 x 113 = 35854900

Least Common Multiple of 668,475,226 with GCF Formula

Least Common Multiple of 668,475,226 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 668,475,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,475,226) = 1

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

GCF(668,475,226) x common factors =1 x 2 = 2

LCM(668,475,226) = ( 668 × 475 × 226 ) / 2

LCM(668,475,226) = 71709800 / 2

LCM(668,475,226) = 35854900


Lets's calculate GCF of 268,929,502

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35854900/1

Therefore the LCM of Fractions 668/268,475/929,226/502 is 35854900

Greatest Common Factor of 268,929,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,929,502 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 502

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

1,2,251,502

Greatest Common Factor

We found the factors 268,929,502 . The biggest common factor number is the GCF number.
So the greatest common factor 268,929,502 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 668/268, 475/929, 226/502

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 668/268, 475/929, 226/502?

Answer: LCM of Numerators as per given numbers 668/268, 475/929, 226/502 is

LCM of Numerators i.e. for 668,475,226 is 35854900

GCF of denominators i.e. for 268,929,502 is 1.

Thus, LCM of Fractions is 35854900.Finally, LCM of Fractions for 668/268, 475/929, 226/502 is 35854900.