Least Common Multiple of 86/748, 501/234, 429/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/748, 501/234, 429/444 quickly i.e. 3080649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/748, 501/234, 429/444 is 3080649.

LCM(86/748, 501/234, 429/444) = 3080649

LCM of 86/748, 501/234, 429/444

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 86/748,501/234,429/444

Given numbers are 86/748,501/234,429/444

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 86,501,429

Least Common Multiple of Numerators i.e. LCM of 86,501,429 is 6161298.

GCF of Denominators means GCF of 748,234,444 as per the given fractions.

GCF of 748,234,444 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,501,429

LCM of Fractions 86/748,501/234,429/444 is 3080649

3 86, 501, 429
86, 167, 143

∴ So the LCM of the given numbers is 3 x 86 x 167 x 143 = 6161298

Least Common Multiple of 86,501,429 with GCF Formula

Least Common Multiple of 86,501,429 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 86,501,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,501,429) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(86,501,429) x common factors =1 x 3 = 3

LCM(86,501,429) = ( 86 × 501 × 429 ) / 3

LCM(86,501,429) = 18483894 / 3

LCM(86,501,429) = 6161298


Lets's calculate GCF of 748,234,444

2 748, 234, 444
374, 117, 222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6161298/2

Therefore the LCM of Fractions 86/748,501/234,429/444 is 3080649

Greatest Common Factor of 748,234,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,234,444 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 748,234,444 . The biggest common factor number is the GCF number.
So the greatest common factor 748,234,444 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 86/748, 501/234, 429/444

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 86/748, 501/234, 429/444?

Answer: LCM of Numerators as per given numbers 86/748, 501/234, 429/444 is

LCM of Numerators i.e. for 86,501,429 is 6161298

GCF of denominators i.e. for 748,234,444 is 2.

Thus, LCM of Fractions is 3080649.Finally, LCM of Fractions for 86/748, 501/234, 429/444 is 3080649.