Given numbers are 748,678,264,693

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

The LCM of 748,678,264,693 is 10650024.

Find LCM of 748,678,264,693 with Prime Factorization

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

2 x 2 x 3 x 11 x 17 x 113 x 2 x 21 = 10650024

Therefore, the lowest common multiple of 748,678,264,693 is 10650024.

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 678 x 264 x 693 = 92783009088

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

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,678,264,693, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

678:2x 3x 113

264:2x 2x 2x 3x 11

693:3x 3x 7x 11

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 3x 11x 11 = 8712

Therefore, the value for common factors is 8712.

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 = 92783009088/(1x8712)

LCM = 92783009088/8712

LCM = 10650024

Thus, we can understand that the LCM of 748,678,264,693 is 10650024.

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

• LCM of 478, 971, 268, 439
• LCM of 724, 647, 559, 237
• LCM of 669, 153, 597, 673
• LCM of 118, 816, 567, 225
• LCM of 742, 928, 357, 209

1. What is the LCM of 748, 678, 264, 693?

Answer: LCM of 748, 678, 264, 693 is 10650024.

2. How to calculate the LCM of 748, 678, 264, 693?

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, 678, 264, 693.

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}.