Given numbers are 763,749,578,189

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

The LCM of 763,749,578,189 is 1274089446.

Find LCM of 763,749,578,189 with Prime Factorization

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

7 x 109 x 107 x 578 x 27 = 1274089446

Therefore, the lowest common multiple of 763,749,578,189 is 1274089446.

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.

763 x 749 x 578 x 189 = 62430382854

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.

763 : 1, 7, 109, 763

749 : 1, 7, 107, 749

578 : 1, 2, 17, 34, 289, 578

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,749,578,189, is 1.

Now, the common factors can be found like this.

763:7x 109

749:7x 107

578:2x 17x 17

189:3x 3x 3x 7

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 62430382854/(1x49)

LCM = 62430382854/49

LCM = 1274089446

Thus, we can understand that the LCM of 763,749,578,189 is 1274089446.

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

• LCM of 517, 733, 604, 105
• LCM of 401, 104, 175, 267
• LCM of 608, 523, 941, 862
• LCM of 852, 290, 914, 226
• LCM of 216, 803, 789, 519

1. What is the LCM of 763, 749, 578, 189?

Answer: LCM of 763, 749, 578, 189 is 1274089446.

2. How to calculate the LCM of 763, 749, 578, 189?

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 763, 749, 578, 189.

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}.