Given numbers are 260,432,704,326

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

The LCM of 260,432,704,326 is 201389760.

Find LCM of 260,432,704,326 with Prime Factorization

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

2 x 2 x 2 x 2 x 65 x 27 x 44 x 163 = 201389760

Therefore, the lowest common multiple of 260,432,704,326 is 201389760.

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.

260 x 432 x 704 x 326 = 25777889280

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

326 : 1, 2, 163, 326

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,432,704,326, is 2.

Now, the common factors can be found like this.

260:2x 2x 5x 13

432:2x 2x 2x 2x 3x 3x 3

704:2x 2x 2x 2x 2x 2x 11

326:2x 163

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 25777889280/(2x64)

LCM = 25777889280/128

LCM = 201389760

Thus, we can understand that the LCM of 260,432,704,326 is 201389760.

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

• LCM of 821, 944, 247, 931
• LCM of 334, 346, 747, 321
• LCM of 946, 552, 974, 136
• LCM of 928, 780, 344, 988
• LCM of 176, 855, 462, 315

1. What is the LCM of 260, 432, 704, 326?

Answer: LCM of 260, 432, 704, 326 is 201389760.

2. How to calculate the LCM of 260, 432, 704, 326?

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 260, 432, 704, 326.

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}.