Least Common Multiple of 68/530, 387/228, 786/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/530, 387/228, 786/842 quickly i.e. 1723698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/530, 387/228, 786/842 is 1723698.

LCM(68/530, 387/228, 786/842) = 1723698

LCM of 68/530, 387/228, 786/842

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 68/530,387/228,786/842

Given numbers are 68/530,387/228,786/842

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 68,387,786

Least Common Multiple of Numerators i.e. LCM of 68,387,786 is 3447396.

GCF of Denominators means GCF of 530,228,842 as per the given fractions.

GCF of 530,228,842 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,387,786

LCM of Fractions 68/530,387/228,786/842 is 1723698

2 68, 387, 786
3 34, 387, 393
34, 129, 131

∴ So the LCM of the given numbers is 2 x 3 x 34 x 129 x 131 = 3447396

Least Common Multiple of 68,387,786 with GCF Formula

Least Common Multiple of 68,387,786 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 68,387,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,387,786) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(68,387,786) x common factors =1 x 6 = 6

LCM(68,387,786) = ( 68 × 387 × 786 ) / 6

LCM(68,387,786) = 20684376 / 6

LCM(68,387,786) = 3447396


Lets's calculate GCF of 530,228,842

2 530, 228, 842
265, 114, 421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3447396/2

Therefore the LCM of Fractions 68/530,387/228,786/842 is 1723698

Greatest Common Factor of 530,228,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,228,842 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 530,228,842 . The biggest common factor number is the GCF number.
So the greatest common factor 530,228,842 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/530, 387/228, 786/842

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 68/530, 387/228, 786/842?

Answer: LCM of Numerators as per given numbers 68/530, 387/228, 786/842 is

LCM of Numerators i.e. for 68,387,786 is 3447396

GCF of denominators i.e. for 530,228,842 is 2.

Thus, LCM of Fractions is 1723698.Finally, LCM of Fractions for 68/530, 387/228, 786/842 is 1723698.