Least Common Multiple of 820/568, 186/760, 654/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/568, 186/760, 654/602 quickly i.e. 4156170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/568, 186/760, 654/602 is 4156170.

LCM(820/568, 186/760, 654/602) = 4156170

LCM of 820/568, 186/760, 654/602

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 820/568,186/760,654/602

Given numbers are 820/568,186/760,654/602

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 820,186,654

Least Common Multiple of Numerators i.e. LCM of 820,186,654 is 8312340.

GCF of Denominators means GCF of 568,760,602 as per the given fractions.

GCF of 568,760,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,186,654

LCM of Fractions 820/568,186/760,654/602 is 4156170

2 820, 186, 654
3 410, 93, 327
410, 31, 109

∴ So the LCM of the given numbers is 2 x 3 x 410 x 31 x 109 = 8312340

Least Common Multiple of 820,186,654 with GCF Formula

Least Common Multiple of 820,186,654 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 820,186,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,186,654) = 2

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

GCF(820,186,654) x common factors =2 x 6 = 12

LCM(820,186,654) = ( 820 × 186 × 654 ) / 12

LCM(820,186,654) = 99748080 / 12

LCM(820,186,654) = 8312340


Lets's calculate GCF of 568,760,602

2 568, 760, 602
284, 380, 301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8312340/2

Therefore the LCM of Fractions 820/568,186/760,654/602 is 4156170

Greatest Common Factor of 568,760,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,760,602 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 568,760,602 . The biggest common factor number is the GCF number.
So the greatest common factor 568,760,602 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 820/568, 186/760, 654/602

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 820/568, 186/760, 654/602?

Answer: LCM of Numerators as per given numbers 820/568, 186/760, 654/602 is

LCM of Numerators i.e. for 820,186,654 is 8312340

GCF of denominators i.e. for 568,760,602 is 2.

Thus, LCM of Fractions is 4156170.Finally, LCM of Fractions for 820/568, 186/760, 654/602 is 4156170.