Least Common Multiple of 377/628, 509/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/628, 509/405 quickly i.e. 191893 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/628, 509/405 is 191893.

LCM(377/628, 509/405) = 191893

LCM of 377/628, 509/405

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 377/628,509/405

Given numbers are 377/628,509/405

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 377,509

Least Common Multiple of Numerators i.e. LCM of 377,509 is 191893.

GCF of Denominators means GCF of 628,405 as per the given fractions.

GCF of 628,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,509

LCM of Fractions 377/628,509/405 is 191893

Given numbers has no common factors except 1. So, there LCM is their product i.e 191893

Least Common Multiple of 377,509 with GCF Formula

Least Common Multiple of 377,509 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 377,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,509) = 1

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

GCF(377,509) x common factors =1 x 1 = 1

LCM(377,509) = ( 377 × 509 ) / 1

LCM(377,509) = 191893 / 1

LCM(377,509) = 191893


Lets's calculate GCF of 628,405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191893/1

Therefore the LCM of Fractions 377/628,509/405 is 191893

Greatest Common Factor of 628,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,405 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 628,405 . The biggest common factor number is the GCF number.
So the greatest common factor 628,405 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 377/628, 509/405

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 377/628, 509/405?

Answer: LCM of Numerators as per given numbers 377/628, 509/405 is

LCM of Numerators i.e. for 377,509 is 191893

GCF of denominators i.e. for 628,405 is 1.

Thus, LCM of Fractions is 191893.Finally, LCM of Fractions for 377/628, 509/405 is 191893.