Least Common Multiple of 730/217, 698/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/217, 698/755 quickly i.e. 254770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/217, 698/755 is 254770.

LCM(730/217, 698/755) = 254770

LCM of 730/217, 698/755

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 730/217,698/755

Given numbers are 730/217,698/755

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 730,698

Least Common Multiple of Numerators i.e. LCM of 730,698 is 254770.

GCF of Denominators means GCF of 217,755 as per the given fractions.

GCF of 217,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,698

LCM of Fractions 730/217,698/755 is 254770

2 730, 698
365, 349

∴ So the LCM of the given numbers is 2 x 365 x 349 = 254770

Least Common Multiple of 730,698 with GCF Formula

Least Common Multiple of 730,698 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 730,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,698) = 2

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

GCF(730,698) x common factors =2 x 1 = 2

LCM(730,698) = ( 730 × 698 ) / 2

LCM(730,698) = 509540 / 2

LCM(730,698) = 254770


Lets's calculate GCF of 217,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254770/1

Therefore the LCM of Fractions 730/217,698/755 is 254770

Greatest Common Factor of 217,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,755 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 217,755 . The biggest common factor number is the GCF number.
So the greatest common factor 217,755 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 730/217, 698/755

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 730/217, 698/755?

Answer: LCM of Numerators as per given numbers 730/217, 698/755 is

LCM of Numerators i.e. for 730,698 is 254770

GCF of denominators i.e. for 217,755 is 1.

Thus, LCM of Fractions is 254770.Finally, LCM of Fractions for 730/217, 698/755 is 254770.