Given numbers are 285,742,402,598,852

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

The LCM of 285,742,402,598,852 is 601565748420.

Find LCM of 285,742,402,598,852 with Prime Factorization

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

2 x 3 x 95 x 371 x 67 x 299 x 142 = 601565748420

Therefore, the lowest common multiple of 285,742,402,598,852 is 601565748420.

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.

285 x 742 x 402 x 598 x 852 = 43312733886240

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

742 : 1, 2, 7, 14, 53, 106, 371, 742

402 : 1, 2, 3, 6, 67, 134, 201, 402

598 : 1, 2, 13, 23, 26, 46, 299, 598

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,742,402,598,852, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

742:2x 7x 53

402:2x 3x 67

598:2x 13x 23

852:2x 2x 3x 71

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 43312733886240/(1x72)

LCM = 43312733886240/72

LCM = 601565748420

Thus, we can understand that the LCM of 285,742,402,598,852 is 601565748420.

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

• LCM of 552, 552, 303, 643, 542
• LCM of 512, 824, 140, 943, 642
• LCM of 610, 641, 377, 588, 367
• LCM of 206, 592, 336, 284, 184
• LCM of 503, 555, 491, 433, 260

1. What is the LCM of 285, 742, 402, 598, 852?

Answer: LCM of 285, 742, 402, 598, 852 is 601565748420.

2. How to calculate the LCM of 285, 742, 402, 598, 852?

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 285, 742, 402, 598, 852.

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}.