Least Common Multiple of 725/775, 214/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 725/775, 214/455 quickly i.e. 31030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 725/775, 214/455 is 31030.

LCM(725/775, 214/455) = 31030

LCM of 725/775, 214/455

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 725/775,214/455

Given numbers are 725/775,214/455

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 725,214

Least Common Multiple of Numerators i.e. LCM of 725,214 is 155150.

GCF of Denominators means GCF of 775,455 as per the given fractions.

GCF of 775,455 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 725,214

LCM of Fractions 725/775,214/455 is 31030

Given numbers has no common factors except 1. So, there LCM is their product i.e 155150

Least Common Multiple of 725,214 with GCF Formula

Least Common Multiple of 725,214 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 725,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,214) = 1

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

GCF(725,214) x common factors =1 x 1 = 1

LCM(725,214) = ( 725 × 214 ) / 1

LCM(725,214) = 155150 / 1

LCM(725,214) = 155150


Lets's calculate GCF of 775,455

5 775, 455
155, 91

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155150/5

Therefore the LCM of Fractions 725/775,214/455 is 31030

Greatest Common Factor of 775,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,455 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 775,455 . The biggest common factor number is the GCF number.
So the greatest common factor 775,455 is 5.


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 725/775, 214/455

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 725/775, 214/455?

Answer: LCM of Numerators as per given numbers 725/775, 214/455 is

LCM of Numerators i.e. for 725,214 is 155150

GCF of denominators i.e. for 775,455 is 5.

Thus, LCM of Fractions is 31030.Finally, LCM of Fractions for 725/775, 214/455 is 31030.