Least Common Multiple of 730/64, 697/49, 700/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/64, 697/49, 700/12 quickly i.e. 35616700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/64, 697/49, 700/12 is 35616700.

LCM(730/64, 697/49, 700/12) = 35616700

LCM of 730/64, 697/49, 700/12

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 730/64,697/49,700/12

Given numbers are 730/64,697/49,700/12

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 730,697,700

Least Common Multiple of Numerators i.e. LCM of 730,697,700 is 35616700.

GCF of Denominators means GCF of 64,49,12 as per the given fractions.

GCF of 64,49,12 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,697,700

LCM of Fractions 730/64,697/49,700/12 is 35616700

2 730, 697, 700
5 365, 697, 350
73, 697, 70

∴ So the LCM of the given numbers is 2 x 5 x 73 x 697 x 70 = 35616700

Least Common Multiple of 730,697,700 with GCF Formula

Least Common Multiple of 730,697,700 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 730,697,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,697,700) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(730,697,700) x common factors =1 x 10 = 10

LCM(730,697,700) = ( 730 × 697 × 700 ) / 10

LCM(730,697,700) = 356167000 / 10

LCM(730,697,700) = 35616700


Lets's calculate GCF of 64,49,12

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35616700/1

Therefore the LCM of Fractions 730/64,697/49,700/12 is 35616700

Greatest Common Factor of 64,49,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,49,12 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 64,49,12 . The biggest common factor number is the GCF number.
So the greatest common factor 64,49,12 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 730/64, 697/49, 700/12

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 730/64, 697/49, 700/12?

Answer: LCM of Numerators as per given numbers 730/64, 697/49, 700/12 is

LCM of Numerators i.e. for 730,697,700 is 35616700

GCF of denominators i.e. for 64,49,12 is 1.

Thus, LCM of Fractions is 35616700.Finally, LCM of Fractions for 730/64, 697/49, 700/12 is 35616700.