Least Common Multiple of 372/186, 825/738, 542/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 372/186, 825/738, 542/428 quickly i.e. 13861650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 372/186, 825/738, 542/428 is 13861650.

LCM(372/186, 825/738, 542/428) = 13861650

LCM of 372/186, 825/738, 542/428

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 372/186,825/738,542/428

Given numbers are 372/186,825/738,542/428

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 372,825,542

Least Common Multiple of Numerators i.e. LCM of 372,825,542 is 27723300.

GCF of Denominators means GCF of 186,738,428 as per the given fractions.

GCF of 186,738,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 372,825,542

LCM of Fractions 372/186,825/738,542/428 is 13861650

2 372, 825, 542
3 186, 825, 271
62, 275, 271

∴ So the LCM of the given numbers is 2 x 3 x 62 x 275 x 271 = 27723300

Least Common Multiple of 372,825,542 with GCF Formula

Least Common Multiple of 372,825,542 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 372,825,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,825,542) = 1

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

GCF(372,825,542) x common factors =1 x 6 = 6

LCM(372,825,542) = ( 372 × 825 × 542 ) / 6

LCM(372,825,542) = 166339800 / 6

LCM(372,825,542) = 27723300


Lets's calculate GCF of 186,738,428

2 186, 738, 428
93, 369, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27723300/2

Therefore the LCM of Fractions 372/186,825/738,542/428 is 13861650

Greatest Common Factor of 186,738,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,738,428 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 186,738,428 . The biggest common factor number is the GCF number.
So the greatest common factor 186,738,428 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 372/186, 825/738, 542/428

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 372/186, 825/738, 542/428?

Answer: LCM of Numerators as per given numbers 372/186, 825/738, 542/428 is

LCM of Numerators i.e. for 372,825,542 is 27723300

GCF of denominators i.e. for 186,738,428 is 2.

Thus, LCM of Fractions is 13861650.Finally, LCM of Fractions for 372/186, 825/738, 542/428 is 13861650.