Given numbers are 528,276,700,638

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

The LCM of 528,276,700,638 is 61630800.

Find LCM of 528,276,700,638 with Prime Factorization

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

2 x 2 x 3 x 11 x 4 x 23 x 175 x 29 = 61630800

Therefore, the lowest common multiple of 528,276,700,638 is 61630800.

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.

528 x 276 x 700 x 638 = 65082124800

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

638 : 1, 2, 11, 22, 29, 58, 319, 638

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,276,700,638, is 2.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

276:2x 2x 3x 23

700:2x 2x 5x 5x 7

638:2x 11x 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 2x 2x 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 65082124800/(2x528)

LCM = 65082124800/1056

LCM = 61630800

Thus, we can understand that the LCM of 528,276,700,638 is 61630800.

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

• LCM of 682, 155, 650, 992
• LCM of 549, 585, 215, 567
• LCM of 781, 486, 616, 222
• LCM of 500, 957, 426, 377
• LCM of 724, 474, 515, 510

1. What is the LCM of 528, 276, 700, 638?

Answer: LCM of 528, 276, 700, 638 is 61630800.

2. How to calculate the LCM of 528, 276, 700, 638?

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 528, 276, 700, 638.

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}.