Least Common Multiple of 59/352, 365/827, 374/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/352, 365/827, 374/488 quickly i.e. 8054090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/352, 365/827, 374/488 is 8054090.

LCM(59/352, 365/827, 374/488) = 8054090

LCM of 59/352, 365/827, 374/488

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 59/352,365/827,374/488

Given numbers are 59/352,365/827,374/488

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 59,365,374

Least Common Multiple of Numerators i.e. LCM of 59,365,374 is 8054090.

GCF of Denominators means GCF of 352,827,488 as per the given fractions.

GCF of 352,827,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,365,374

LCM of Fractions 59/352,365/827,374/488 is 8054090

Given numbers has no common factors except 1. So, there LCM is their product i.e 8054090

Least Common Multiple of 59,365,374 with GCF Formula

Least Common Multiple of 59,365,374 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 59,365,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,365,374) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(59,365,374) x common factors =1 x 1 = 1

LCM(59,365,374) = ( 59 × 365 × 374 ) / 1

LCM(59,365,374) = 8054090 / 1

LCM(59,365,374) = 8054090


Lets's calculate GCF of 352,827,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8054090/1

Therefore the LCM of Fractions 59/352,365/827,374/488 is 8054090

Greatest Common Factor of 352,827,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,827,488 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 352,827,488 . The biggest common factor number is the GCF number.
So the greatest common factor 352,827,488 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 59/352, 365/827, 374/488

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 59/352, 365/827, 374/488?

Answer: LCM of Numerators as per given numbers 59/352, 365/827, 374/488 is

LCM of Numerators i.e. for 59,365,374 is 8054090

GCF of denominators i.e. for 352,827,488 is 1.

Thus, LCM of Fractions is 8054090.Finally, LCM of Fractions for 59/352, 365/827, 374/488 is 8054090.