Given numbers are 748,704,343,576,194

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

The LCM of 748,704,343,576,194 is 3583685952.

Find LCM of 748,704,343,576,194 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 x 1 x 343 x 9 x 97 = 3583685952

Therefore, the lowest common multiple of 748,704,343,576,194 is 3583685952.

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.

748 x 704 x 343 x 576 x 194 = 20183319281664

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

343 : 1, 7, 49, 343

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,704,343,576,194, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

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

343:7x 7x 7

576:2x 2x 2x 2x 2x 2x 3x 3

194:2x 97

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 2x 2x 2x 2x 11 = 5632

Therefore, the value for common factors is 5632.

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 = 20183319281664/(1x5632)

LCM = 20183319281664/5632

LCM = 3583685952

Thus, we can understand that the LCM of 748,704,343,576,194 is 3583685952.

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

• LCM of 956, 984, 782, 242, 370
• LCM of 657, 265, 936, 164, 135
• LCM of 159, 550, 747, 689, 902
• LCM of 791, 376, 678, 841, 567
• LCM of 499, 182, 312, 299, 504

1. What is the LCM of 748, 704, 343, 576, 194?

Answer: LCM of 748, 704, 343, 576, 194 is 3583685952.

2. How to calculate the LCM of 748, 704, 343, 576, 194?

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 748, 704, 343, 576, 194.

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}.