Least Common Multiple of 70/772, 441/170, 504/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/772, 441/170, 504/586 quickly i.e. 8820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/772, 441/170, 504/586 is 8820.

LCM(70/772, 441/170, 504/586) = 8820

LCM of 70/772, 441/170, 504/586

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 70/772,441/170,504/586

Given numbers are 70/772,441/170,504/586

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 70,441,504

Least Common Multiple of Numerators i.e. LCM of 70,441,504 is 17640.

GCF of Denominators means GCF of 772,170,586 as per the given fractions.

GCF of 772,170,586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,441,504

LCM of Fractions 70/772,441/170,504/586 is 8820

2 70, 441, 504
3 35, 441, 252
3 35, 147, 84
7 35, 49, 28
5, 7, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 7 x 4 = 17640

Least Common Multiple of 70,441,504 with GCF Formula

Least Common Multiple of 70,441,504 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 70,441,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,441,504) = 7

common factors(in case of two or more numbers have common factors) = 126

GCF(70,441,504) x common factors =7 x 126 = 882

LCM(70,441,504) = ( 70 × 441 × 504 ) / 882

LCM(70,441,504) = 15558480 / 882

LCM(70,441,504) = 17640


Lets's calculate GCF of 772,170,586

2 772, 170, 586
386, 85, 293

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17640/2

Therefore the LCM of Fractions 70/772,441/170,504/586 is 8820

Greatest Common Factor of 772,170,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,170,586 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 772,170,586 . The biggest common factor number is the GCF number.
So the greatest common factor 772,170,586 is 2.


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 70/772, 441/170, 504/586

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 70/772, 441/170, 504/586?

Answer: LCM of Numerators as per given numbers 70/772, 441/170, 504/586 is

LCM of Numerators i.e. for 70,441,504 is 17640

GCF of denominators i.e. for 772,170,586 is 2.

Thus, LCM of Fractions is 8820.Finally, LCM of Fractions for 70/772, 441/170, 504/586 is 8820.