Given numbers are 735,228,482,870

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

The LCM of 735,228,482,870 is 390405540.

Find LCM of 735,228,482,870 with Prime Factorization

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

2 x 3 x 5 x 49 x 38 x 241 x 29 = 390405540

Therefore, the lowest common multiple of 735,228,482,870 is 390405540.

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.

735 x 228 x 482 x 870 = 70272997200

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

482 : 1, 2, 241, 482

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,228,482,870, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

228:2x 2x 3x 19

482:2x 241

870:2x 3x 5x 29

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 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 70272997200/(1x180)

LCM = 70272997200/180

LCM = 390405540

Thus, we can understand that the LCM of 735,228,482,870 is 390405540.

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

• LCM of 320, 939, 179, 595
• LCM of 225, 307, 215, 821
• LCM of 224, 674, 178, 128
• LCM of 156, 281, 643, 906
• LCM of 795, 848, 719, 583

1. What is the LCM of 735, 228, 482, 870?

Answer: LCM of 735, 228, 482, 870 is 390405540.

2. How to calculate the LCM of 735, 228, 482, 870?

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 735, 228, 482, 870.

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}.