Given numbers are 210,624,667,748

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

The LCM of 210,624,667,748 is 2724081360.

Find LCM of 210,624,667,748 with Prime Factorization

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

2 x 2 x 3 x 35 x 52 x 667 x 187 = 2724081360

Therefore, the lowest common multiple of 210,624,667,748 is 2724081360.

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.

210 x 624 x 667 x 748 = 65377952640

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

667 : 1, 23, 29, 667

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,624,667,748, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

624:2x 2x 2x 2x 3x 13

667:23x 29

748:2x 2x 11x 17

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 65377952640/(1x24)

LCM = 65377952640/24

LCM = 2724081360

Thus, we can understand that the LCM of 210,624,667,748 is 2724081360.

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

• LCM of 317, 294, 116, 616
• LCM of 721, 719, 408, 959
• LCM of 200, 902, 362, 422
• LCM of 462, 726, 866, 510
• LCM of 168, 242, 489, 708

1. What is the LCM of 210, 624, 667, 748?

Answer: LCM of 210, 624, 667, 748 is 2724081360.

2. How to calculate the LCM of 210, 624, 667, 748?

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 210, 624, 667, 748.

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}.