Least Common Multiple of 730/692, 701/408, 497/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/692, 701/408, 497/221 quickly i.e. 254329810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/692, 701/408, 497/221 is 254329810.

LCM(730/692, 701/408, 497/221) = 254329810

LCM of 730/692, 701/408, 497/221

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 730/692,701/408,497/221

Given numbers are 730/692,701/408,497/221

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 730,701,497

Least Common Multiple of Numerators i.e. LCM of 730,701,497 is 254329810.

GCF of Denominators means GCF of 692,408,221 as per the given fractions.

GCF of 692,408,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,701,497

LCM of Fractions 730/692,701/408,497/221 is 254329810

Given numbers has no common factors except 1. So, there LCM is their product i.e 254329810

Least Common Multiple of 730,701,497 with GCF Formula

Least Common Multiple of 730,701,497 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 730,701,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,701,497) = 1

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

GCF(730,701,497) x common factors =1 x 1 = 1

LCM(730,701,497) = ( 730 × 701 × 497 ) / 1

LCM(730,701,497) = 254329810 / 1

LCM(730,701,497) = 254329810


Lets's calculate GCF of 692,408,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254329810/1

Therefore the LCM of Fractions 730/692,701/408,497/221 is 254329810

Greatest Common Factor of 692,408,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,408,221 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 692,408,221 . The biggest common factor number is the GCF number.
So the greatest common factor 692,408,221 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 730/692, 701/408, 497/221

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 730/692, 701/408, 497/221?

Answer: LCM of Numerators as per given numbers 730/692, 701/408, 497/221 is

LCM of Numerators i.e. for 730,701,497 is 254329810

GCF of denominators i.e. for 692,408,221 is 1.

Thus, LCM of Fractions is 254329810.Finally, LCM of Fractions for 730/692, 701/408, 497/221 is 254329810.