Given numbers are 537,210,603,840

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

The LCM of 537,210,603,840 is 30222360.

Find LCM of 537,210,603,840 with Prime Factorization

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

2 x 3 x 5 x 7 x 179 x 1 x 201 x 4 = 30222360

Therefore, the lowest common multiple of 537,210,603,840 is 30222360.

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.

537 x 210 x 603 x 840 = 57120260400

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.

537 : 1, 3, 179, 537

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

603 : 1, 3, 9, 67, 201, 603

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,210,603,840, is 3.

Now, the common factors can be found like this.

537:3x 179

210:2x 3x 5x 7

603:3x 3x 67

840:2x 2x 2x 3x 5x 7

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

2x 3x 3x 5x 7 = 630

Therefore, the value for common factors is 630.

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 = 57120260400/(3x630)

LCM = 57120260400/1890

LCM = 30222360

Thus, we can understand that the LCM of 537,210,603,840 is 30222360.

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

• LCM of 333, 936, 785, 371
• LCM of 101, 972, 653, 200
• LCM of 521, 242, 757, 451
• LCM of 994, 500, 973, 357
• LCM of 630, 445, 670, 400

1. What is the LCM of 537, 210, 603, 840?

Answer: LCM of 537, 210, 603, 840 is 30222360.

2. How to calculate the LCM of 537, 210, 603, 840?

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 537, 210, 603, 840.

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}.