Least Common Multiple of 69/850, 12/638, 684/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/850, 12/638, 684/546 quickly i.e. 7866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/850, 12/638, 684/546 is 7866.

LCM(69/850, 12/638, 684/546) = 7866

LCM of 69/850, 12/638, 684/546

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 69/850,12/638,684/546

Given numbers are 69/850,12/638,684/546

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 69,12,684

Least Common Multiple of Numerators i.e. LCM of 69,12,684 is 15732.

GCF of Denominators means GCF of 850,638,546 as per the given fractions.

GCF of 850,638,546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,12,684

LCM of Fractions 69/850,12/638,684/546 is 7866

2 69, 12, 684
2 69, 6, 342
3 69, 3, 171
23, 1, 57

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 1 x 57 = 15732

Least Common Multiple of 69,12,684 with GCF Formula

Least Common Multiple of 69,12,684 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 69,12,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,12,684) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(69,12,684) x common factors =3 x 12 = 36

LCM(69,12,684) = ( 69 × 12 × 684 ) / 36

LCM(69,12,684) = 566352 / 36

LCM(69,12,684) = 15732


Lets's calculate GCF of 850,638,546

2 850, 638, 546
425, 319, 273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15732/2

Therefore the LCM of Fractions 69/850,12/638,684/546 is 7866

Greatest Common Factor of 850,638,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,638,546 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 850,638,546 . The biggest common factor number is the GCF number.
So the greatest common factor 850,638,546 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 69/850, 12/638, 684/546

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 69/850, 12/638, 684/546?

Answer: LCM of Numerators as per given numbers 69/850, 12/638, 684/546 is

LCM of Numerators i.e. for 69,12,684 is 15732

GCF of denominators i.e. for 850,638,546 is 2.

Thus, LCM of Fractions is 7866.Finally, LCM of Fractions for 69/850, 12/638, 684/546 is 7866.