Least Common Multiple of 70/720, 963/707, 699/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/720, 963/707, 699/458 quickly i.e. 15706530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/720, 963/707, 699/458 is 15706530.

LCM(70/720, 963/707, 699/458) = 15706530

LCM of 70/720, 963/707, 699/458

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 70/720,963/707,699/458

Given numbers are 70/720,963/707,699/458

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 70,963,699

Least Common Multiple of Numerators i.e. LCM of 70,963,699 is 15706530.

GCF of Denominators means GCF of 720,707,458 as per the given fractions.

GCF of 720,707,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,963,699

LCM of Fractions 70/720,963/707,699/458 is 15706530

3 70, 963, 699
70, 321, 233

∴ So the LCM of the given numbers is 3 x 70 x 321 x 233 = 15706530

Least Common Multiple of 70,963,699 with GCF Formula

Least Common Multiple of 70,963,699 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 70,963,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,963,699) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(70,963,699) x common factors =1 x 3 = 3

LCM(70,963,699) = ( 70 × 963 × 699 ) / 3

LCM(70,963,699) = 47119590 / 3

LCM(70,963,699) = 15706530


Lets's calculate GCF of 720,707,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15706530/1

Therefore the LCM of Fractions 70/720,963/707,699/458 is 15706530

Greatest Common Factor of 720,707,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,707,458 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 720,707,458 . The biggest common factor number is the GCF number.
So the greatest common factor 720,707,458 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 70/720, 963/707, 699/458

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 70/720, 963/707, 699/458?

Answer: LCM of Numerators as per given numbers 70/720, 963/707, 699/458 is

LCM of Numerators i.e. for 70,963,699 is 15706530

GCF of denominators i.e. for 720,707,458 is 1.

Thus, LCM of Fractions is 15706530.Finally, LCM of Fractions for 70/720, 963/707, 699/458 is 15706530.