Least Common Multiple of 70/486, 66/793, 426/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/486, 66/793, 426/530 quickly i.e. 164010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/486, 66/793, 426/530 is 164010.

LCM(70/486, 66/793, 426/530) = 164010

LCM of 70/486, 66/793, 426/530

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 70/486,66/793,426/530

Given numbers are 70/486,66/793,426/530

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 70,66,426

Least Common Multiple of Numerators i.e. LCM of 70,66,426 is 164010.

GCF of Denominators means GCF of 486,793,530 as per the given fractions.

GCF of 486,793,530 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,66,426

LCM of Fractions 70/486,66/793,426/530 is 164010

2 70, 66, 426
3 35, 33, 213
35, 11, 71

∴ So the LCM of the given numbers is 2 x 3 x 35 x 11 x 71 = 164010

Least Common Multiple of 70,66,426 with GCF Formula

Least Common Multiple of 70,66,426 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 70,66,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,66,426) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(70,66,426) x common factors =2 x 6 = 12

LCM(70,66,426) = ( 70 × 66 × 426 ) / 12

LCM(70,66,426) = 1968120 / 12

LCM(70,66,426) = 164010


Lets's calculate GCF of 486,793,530

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164010/1

Therefore the LCM of Fractions 70/486,66/793,426/530 is 164010

Greatest Common Factor of 486,793,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,793,530 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 486,793,530 . The biggest common factor number is the GCF number.
So the greatest common factor 486,793,530 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/486, 66/793, 426/530

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 70/486, 66/793, 426/530?

Answer: LCM of Numerators as per given numbers 70/486, 66/793, 426/530 is

LCM of Numerators i.e. for 70,66,426 is 164010

GCF of denominators i.e. for 486,793,530 is 1.

Thus, LCM of Fractions is 164010.Finally, LCM of Fractions for 70/486, 66/793, 426/530 is 164010.