Least Common Multiple of 369/280, 637/522, 688/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/280, 637/522, 688/164 quickly i.e. 80858232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/280, 637/522, 688/164 is 80858232.

LCM(369/280, 637/522, 688/164) = 80858232

LCM of 369/280, 637/522, 688/164

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 369/280,637/522,688/164

Given numbers are 369/280,637/522,688/164

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 369,637,688

Least Common Multiple of Numerators i.e. LCM of 369,637,688 is 161716464.

GCF of Denominators means GCF of 280,522,164 as per the given fractions.

GCF of 280,522,164 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,637,688

LCM of Fractions 369/280,637/522,688/164 is 80858232

Given numbers has no common factors except 1. So, there LCM is their product i.e 161716464

Least Common Multiple of 369,637,688 with GCF Formula

Least Common Multiple of 369,637,688 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 369,637,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,637,688) = 1

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

GCF(369,637,688) x common factors =1 x 1 = 1

LCM(369,637,688) = ( 369 × 637 × 688 ) / 1

LCM(369,637,688) = 161716464 / 1

LCM(369,637,688) = 161716464


Lets's calculate GCF of 280,522,164

2 280, 522, 164
140, 261, 82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161716464/2

Therefore the LCM of Fractions 369/280,637/522,688/164 is 80858232

Greatest Common Factor of 280,522,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,522,164 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 280,522,164 . The biggest common factor number is the GCF number.
So the greatest common factor 280,522,164 is 2.


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 369/280, 637/522, 688/164

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 369/280, 637/522, 688/164?

Answer: LCM of Numerators as per given numbers 369/280, 637/522, 688/164 is

LCM of Numerators i.e. for 369,637,688 is 161716464

GCF of denominators i.e. for 280,522,164 is 2.

Thus, LCM of Fractions is 80858232.Finally, LCM of Fractions for 369/280, 637/522, 688/164 is 80858232.