Given numbers are 360,715,578,674

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

The LCM of 360,715,578,674 is 5013791640.

Find LCM of 360,715,578,674 with Prime Factorization

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

2 x 5 x 36 x 143 x 289 x 337 = 5013791640

Therefore, the lowest common multiple of 360,715,578,674 is 5013791640.

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.

360 x 715 x 578 x 674 = 100275832800

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

715 : 1, 5, 11, 13, 55, 65, 143, 715

578 : 1, 2, 17, 34, 289, 578

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,715,578,674, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

715:5x 11x 13

578:2x 17x 17

674:2x 337

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

2x 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 100275832800/(1x20)

LCM = 100275832800/20

LCM = 5013791640

Thus, we can understand that the LCM of 360,715,578,674 is 5013791640.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 384, 695, 522, 982
• LCM of 693, 378, 152, 312
• LCM of 981, 658, 212, 499
• LCM of 204, 818, 538, 882
• LCM of 187, 936, 759, 790

1. What is the LCM of 360, 715, 578, 674?

Answer: LCM of 360, 715, 578, 674 is 5013791640.

2. How to calculate the LCM of 360, 715, 578, 674?

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 360, 715, 578, 674.

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}.