Given numbers are 748,538,146,372

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

The LCM of 748,538,146,372 is 1366028268.

Find LCM of 748,538,146,372 with Prime Factorization

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

2 x 2 x 187 x 269 x 73 x 93 = 1366028268

Therefore, the lowest common multiple of 748,538,146,372 is 1366028268.

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 538 x 146 x 372 = 21856452288

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

538 : 1, 2, 269, 538

146 : 1, 2, 73, 146

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,538,146,372, is 2.

Now, the common factors can be found like this.

748:2x 2x 11x 17

538:2x 269

146:2x 73

372:2x 2x 3x 31

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 = 21856452288/(2x8)

LCM = 21856452288/16

LCM = 1366028268

Thus, we can understand that the LCM of 748,538,146,372 is 1366028268.

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

• LCM of 761, 275, 289, 418
• LCM of 646, 619, 699, 711
• LCM of 144, 903, 801, 724
• LCM of 579, 471, 781, 460
• LCM of 464, 341, 782, 971

1. What is the LCM of 748, 538, 146, 372?

Answer: LCM of 748, 538, 146, 372 is 1366028268.

2. How to calculate the LCM of 748, 538, 146, 372?

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, 538, 146, 372.

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}.