Least Common Multiple of 59/670, 714/538, 432/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/670, 714/538, 432/347 quickly i.e. 3033072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/670, 714/538, 432/347 is 3033072.

LCM(59/670, 714/538, 432/347) = 3033072

LCM of 59/670, 714/538, 432/347

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 59/670,714/538,432/347

Given numbers are 59/670,714/538,432/347

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 59,714,432

Least Common Multiple of Numerators i.e. LCM of 59,714,432 is 3033072.

GCF of Denominators means GCF of 670,538,347 as per the given fractions.

GCF of 670,538,347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,714,432

LCM of Fractions 59/670,714/538,432/347 is 3033072

2 59, 714, 432
3 59, 357, 216
59, 119, 72

∴ So the LCM of the given numbers is 2 x 3 x 59 x 119 x 72 = 3033072

Least Common Multiple of 59,714,432 with GCF Formula

Least Common Multiple of 59,714,432 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 59,714,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,714,432) = 1

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

GCF(59,714,432) x common factors =1 x 6 = 6

LCM(59,714,432) = ( 59 × 714 × 432 ) / 6

LCM(59,714,432) = 18198432 / 6

LCM(59,714,432) = 3033072


Lets's calculate GCF of 670,538,347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3033072/1

Therefore the LCM of Fractions 59/670,714/538,432/347 is 3033072

Greatest Common Factor of 670,538,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,538,347 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 670,538,347 . The biggest common factor number is the GCF number.
So the greatest common factor 670,538,347 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 59/670, 714/538, 432/347

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 59/670, 714/538, 432/347?

Answer: LCM of Numerators as per given numbers 59/670, 714/538, 432/347 is

LCM of Numerators i.e. for 59,714,432 is 3033072

GCF of denominators i.e. for 670,538,347 is 1.

Thus, LCM of Fractions is 3033072.Finally, LCM of Fractions for 59/670, 714/538, 432/347 is 3033072.