Least Common Multiple of 88/837, 473/18, 432/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/837, 473/18, 432/516 quickly i.e. 68112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/837, 473/18, 432/516 is 68112.

LCM(88/837, 473/18, 432/516) = 68112

LCM of 88/837, 473/18, 432/516

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 88/837,473/18,432/516

Given numbers are 88/837,473/18,432/516

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 88,473,432

Least Common Multiple of Numerators i.e. LCM of 88,473,432 is 204336.

GCF of Denominators means GCF of 837,18,516 as per the given fractions.

GCF of 837,18,516 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,473,432

LCM of Fractions 88/837,473/18,432/516 is 68112

2 88, 473, 432
2 44, 473, 216
2 22, 473, 108
11 11, 473, 54
1, 43, 54

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 1 x 43 x 54 = 204336

Least Common Multiple of 88,473,432 with GCF Formula

Least Common Multiple of 88,473,432 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 88,473,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,473,432) = 1

common factors(in case of two or more numbers have common factors) = 88

GCF(88,473,432) x common factors =1 x 88 = 88

LCM(88,473,432) = ( 88 × 473 × 432 ) / 88

LCM(88,473,432) = 17981568 / 88

LCM(88,473,432) = 204336


Lets's calculate GCF of 837,18,516

3 837, 18, 516
279, 6, 172

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204336/3

Therefore the LCM of Fractions 88/837,473/18,432/516 is 68112

Greatest Common Factor of 837,18,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 837,18,516 By Matching Biggest Common Factor Method

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 837,18,516 . The biggest common factor number is the GCF number.
So the greatest common factor 837,18,516 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 88/837, 473/18, 432/516

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 88/837, 473/18, 432/516?

Answer: LCM of Numerators as per given numbers 88/837, 473/18, 432/516 is

LCM of Numerators i.e. for 88,473,432 is 204336

GCF of denominators i.e. for 837,18,516 is 3.

Thus, LCM of Fractions is 68112.Finally, LCM of Fractions for 88/837, 473/18, 432/516 is 68112.