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LCM of 627, 716, 299, 475

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


Find the LCM of 627, 716, 299, 475 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 627, 716, 299, 475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,716,299,475

Given numbers are 627,716,299,475

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

The LCM of 627,716,299,475 is 3355766700.

Find LCM of 627,716,299,475 with Prime Factorization


19 627, 716, 299, 475
33, 716, 299, 25

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

19 x 33 x 716 x 299 x 25 = 3355766700

Therefore, the lowest common multiple of 627,716,299,475 is 3355766700.

LCM Formula to Find Lowest Common Multiple of 627,716,299,475

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.

627 x 716 x 299 x 475 = 63759567300

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.

627 : 1, 3, 11, 19, 33, 57, 209, 627

716 : 1, 2, 4, 179, 358, 716

299 : 1, 13, 23, 299

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,716,299,475, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

716:2x 2x 179

299:13x 23

475:5x 5x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 63759567300/(1x19)

LCM = 63759567300/19

LCM = 3355766700

Thus, we can understand that the LCM of 627,716,299,475 is 3355766700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 716, 299, 475

1. What is the LCM of 627, 716, 299, 475?

Answer: LCM of 627, 716, 299, 475 is 3355766700.

2. How to calculate the LCM of 627, 716, 299, 475?

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 627, 716, 299, 475.

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}.