Given numbers are 360,749,354,894

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

The LCM of 360,749,354,894 is 2370405240.

Find LCM of 360,749,354,894 with Prime Factorization

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

2 x 3 x 60 x 749 x 59 x 149 = 2370405240

Therefore, the lowest common multiple of 360,749,354,894 is 2370405240.

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 749 x 354 x 894 = 85334588640

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

749 : 1, 7, 107, 749

354 : 1, 2, 3, 6, 59, 118, 177, 354

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,749,354,894, is 1.

Now, the common factors can be found like this.

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

749:7x 107

354:2x 3x 59

894:2x 3x 149

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 85334588640/(1x36)

LCM = 85334588640/36

LCM = 2370405240

Thus, we can understand that the LCM of 360,749,354,894 is 2370405240.

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

• LCM of 128, 977, 856, 571
• LCM of 989, 330, 312, 867
• LCM of 943, 655, 906, 951
• LCM of 968, 632, 731, 497
• LCM of 532, 957, 412, 583

1. What is the LCM of 360, 749, 354, 894?

Answer: LCM of 360, 749, 354, 894 is 2370405240.

2. How to calculate the LCM of 360, 749, 354, 894?

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, 749, 354, 894.

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}.