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LCM of 687, 565, 573, 573

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 687, 565, 573, 573 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 687, 565, 573, 573. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 687,565,573,573

Given numbers are 687,565,573,573

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 687,565,573,573 is 74137605.

Find LCM of 687,565,573,573 with Prime Factorization


3 687, 565, 573, 573
191 229, 565, 191, 191
229, 565, 1, 1

Multiply the prime numbers at the bottom and the left side.

3 x 191 x 229 x 565 x 1 x 1 = 74137605

Therefore, the lowest common multiple of 687,565,573,573 is 74137605.

LCM Formula to Find Lowest Common Multiple of 687,565,573,573

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

687 x 565 x 573 x 573 = 127442542995

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

687 : 1, 3, 229, 687

565 : 1, 5, 113, 565

573 : 1, 3, 191, 573

573 : 1, 3, 191, 573

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,565,573,573, is 1.

Now, the common factors can be found like this.

687:3x 229

565:5x 113

573:3x 191

573:3x 191

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 191 = 1719

Therefore, the value for common factors is 1719.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 127442542995/(1x1719)

LCM = 127442542995/1719

LCM = 74137605

Thus, we can understand that the LCM of 687,565,573,573 is 74137605.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 687, 565, 573, 573

1. What is the LCM of 687, 565, 573, 573?

Answer: LCM of 687, 565, 573, 573 is 74137605.

2. How to calculate the LCM of 687, 565, 573, 573?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 687, 565, 573, 573.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.