Given numbers are 527,412,646,749

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

The LCM of 527,412,646,749 is 3089891644.

Find LCM of 527,412,646,749 with Prime Factorization

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

2 x 17 x 31 x 206 x 19 x 749 = 3089891644

Therefore, the lowest common multiple of 527,412,646,749 is 3089891644.

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.

527 x 412 x 646 x 749 = 105056315896

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.

527 : 1, 17, 31, 527

412 : 1, 2, 4, 103, 206, 412

646 : 1, 2, 17, 19, 34, 38, 323, 646

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,412,646,749, is 1.

Now, the common factors can be found like this.

527:17x 31

412:2x 2x 103

646:2x 17x 19

749:7x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 105056315896/(1x34)

LCM = 105056315896/34

LCM = 3089891644

Thus, we can understand that the LCM of 527,412,646,749 is 3089891644.

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

• LCM of 462, 475, 883, 989
• LCM of 548, 690, 985, 822
• LCM of 769, 672, 954, 191
• LCM of 228, 575, 931, 801
• LCM of 793, 200, 745, 186

1. What is the LCM of 527, 412, 646, 749?

Answer: LCM of 527, 412, 646, 749 is 3089891644.

2. How to calculate the LCM of 527, 412, 646, 749?

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 527, 412, 646, 749.

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}.