Least Common Multiple of 455/505, 1895/6764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 455/505, 1895/6764 quickly i.e. 172445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 455/505, 1895/6764 is 172445.

LCM(455/505, 1895/6764) = 172445

LCM of 455/505, 1895/6764

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 455/505,1895/6764

Given numbers are 455/505,1895/6764

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 455,1895

Least Common Multiple of Numerators i.e. LCM of 455,1895 is 172445.

GCF of Denominators means GCF of 505,6764 as per the given fractions.

GCF of 505,6764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 455,1895

LCM of Fractions 455/505,1895/6764 is 172445

5 455, 1895
91, 379

∴ So the LCM of the given numbers is 5 x 91 x 379 = 172445

Least Common Multiple of 455,1895 with GCF Formula

Least Common Multiple of 455,1895 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 455,1895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,1895) = 5

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

GCF(455,1895) x common factors =5 x 1 = 5

LCM(455,1895) = ( 455 × 1895 ) / 5

LCM(455,1895) = 862225 / 5

LCM(455,1895) = 172445


Lets's calculate GCF of 505,6764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172445/1

Therefore the LCM of Fractions 455/505,1895/6764 is 172445

Greatest Common Factor of 505,6764 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,6764 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1,2,4,19,38,76,89,178,356,1691,3382,6764

Greatest Common Factor

We found the factors 505,6764 . The biggest common factor number is the GCF number.
So the greatest common factor 505,6764 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 455/505, 1895/6764

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 455/505, 1895/6764?

Answer: LCM of Numerators as per given numbers 455/505, 1895/6764 is

LCM of Numerators i.e. for 455,1895 is 172445

GCF of denominators i.e. for 505,6764 is 1.

Thus, LCM of Fractions is 172445.Finally, LCM of Fractions for 455/505, 1895/6764 is 172445.