Least Common Multiple of 88/413, 38/346, 642/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/413, 38/346, 642/532 quickly i.e. 536712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/413, 38/346, 642/532 is 536712.

LCM(88/413, 38/346, 642/532) = 536712

LCM of 88/413, 38/346, 642/532

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 88/413,38/346,642/532

Given numbers are 88/413,38/346,642/532

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 88,38,642

Least Common Multiple of Numerators i.e. LCM of 88,38,642 is 536712.

GCF of Denominators means GCF of 413,346,532 as per the given fractions.

GCF of 413,346,532 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,38,642

LCM of Fractions 88/413,38/346,642/532 is 536712

2 88, 38, 642
44, 19, 321

∴ So the LCM of the given numbers is 2 x 44 x 19 x 321 = 536712

Least Common Multiple of 88,38,642 with GCF Formula

Least Common Multiple of 88,38,642 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 88,38,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,38,642) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(88,38,642) x common factors =2 x 2 = 4

LCM(88,38,642) = ( 88 × 38 × 642 ) / 4

LCM(88,38,642) = 2146848 / 4

LCM(88,38,642) = 536712


Lets's calculate GCF of 413,346,532

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 536712/1

Therefore the LCM of Fractions 88/413,38/346,642/532 is 536712

Greatest Common Factor of 413,346,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,346,532 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 413,346,532 . The biggest common factor number is the GCF number.
So the greatest common factor 413,346,532 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/413, 38/346, 642/532

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 88/413, 38/346, 642/532?

Answer: LCM of Numerators as per given numbers 88/413, 38/346, 642/532 is

LCM of Numerators i.e. for 88,38,642 is 536712

GCF of denominators i.e. for 413,346,532 is 1.

Thus, LCM of Fractions is 536712.Finally, LCM of Fractions for 88/413, 38/346, 642/532 is 536712.