Least Common Multiple of 486/658, 807/564, 572/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/658, 807/564, 572/682 quickly i.e. 18694962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/658, 807/564, 572/682 is 18694962.

LCM(486/658, 807/564, 572/682) = 18694962

LCM of 486/658, 807/564, 572/682

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 486/658,807/564,572/682

Given numbers are 486/658,807/564,572/682

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 486,807,572

Least Common Multiple of Numerators i.e. LCM of 486,807,572 is 37389924.

GCF of Denominators means GCF of 658,564,682 as per the given fractions.

GCF of 658,564,682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,807,572

LCM of Fractions 486/658,807/564,572/682 is 18694962

2 486, 807, 572
3 243, 807, 286
81, 269, 286

∴ So the LCM of the given numbers is 2 x 3 x 81 x 269 x 286 = 37389924

Least Common Multiple of 486,807,572 with GCF Formula

Least Common Multiple of 486,807,572 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 486,807,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,807,572) = 1

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

GCF(486,807,572) x common factors =1 x 6 = 6

LCM(486,807,572) = ( 486 × 807 × 572 ) / 6

LCM(486,807,572) = 224339544 / 6

LCM(486,807,572) = 37389924


Lets's calculate GCF of 658,564,682

2 658, 564, 682
329, 282, 341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37389924/2

Therefore the LCM of Fractions 486/658,807/564,572/682 is 18694962

Greatest Common Factor of 658,564,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,564,682 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 658,564,682 . The biggest common factor number is the GCF number.
So the greatest common factor 658,564,682 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 486/658, 807/564, 572/682

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 486/658, 807/564, 572/682?

Answer: LCM of Numerators as per given numbers 486/658, 807/564, 572/682 is

LCM of Numerators i.e. for 486,807,572 is 37389924

GCF of denominators i.e. for 658,564,682 is 2.

Thus, LCM of Fractions is 18694962.Finally, LCM of Fractions for 486/658, 807/564, 572/682 is 18694962.