Given numbers are 688,482,491,201,364

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

The LCM of 688,482,491,201,364 is 1489101916848.

Find LCM of 688,482,491,201,364 with Prime Factorization

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

2 x 2 x 172 x 241 x 491 x 201 x 91 = 1489101916848

Therefore, the lowest common multiple of 688,482,491,201,364 is 1489101916848.

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.

688 x 482 x 491 x 201 x 364 = 11912815334784

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

482 : 1, 2, 241, 482

491 : 1, 491

201 : 1, 3, 67, 201

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,482,491,201,364, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

482:2x 241

491:491

201:3x 67

364:2x 2x 7x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 11912815334784/(1x8)

LCM = 11912815334784/8

LCM = 1489101916848

Thus, we can understand that the LCM of 688,482,491,201,364 is 1489101916848.

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

• LCM of 925, 633, 186, 627, 581
• LCM of 282, 399, 488, 730, 332
• LCM of 948, 598, 852, 143, 254
• LCM of 209, 430, 287, 893, 132
• LCM of 289, 915, 641, 906, 112

1. What is the LCM of 688, 482, 491, 201, 364?

Answer: LCM of 688, 482, 491, 201, 364 is 1489101916848.

2. How to calculate the LCM of 688, 482, 491, 201, 364?

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 688, 482, 491, 201, 364.

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}.