Given numbers are 234,749,456,310,398

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

The LCM of 234,749,456,310,398 is 410862062520.

Find LCM of 234,749,456,310,398 with Prime Factorization

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

2 x 3 x 39 x 749 x 76 x 155 x 199 = 410862062520

Therefore, the lowest common multiple of 234,749,456,310,398 is 410862062520.

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.

234 x 749 x 456 x 310 x 398 = 9860689500480

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

749 : 1, 7, 107, 749

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

310 : 1, 2, 5, 10, 31, 62, 155, 310

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,749,456,310,398, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

749:7x 107

456:2x 2x 2x 3x 19

310:2x 5x 31

398:2x 199

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9860689500480/(1x24)

LCM = 9860689500480/24

LCM = 410862062520

Thus, we can understand that the LCM of 234,749,456,310,398 is 410862062520.

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

• LCM of 464, 867, 649, 869, 959
• LCM of 315, 328, 606, 856, 905
• LCM of 849, 181, 353, 492, 332
• LCM of 763, 698, 359, 806, 169
• LCM of 839, 484, 853, 844, 541

1. What is the LCM of 234, 749, 456, 310, 398?

Answer: LCM of 234, 749, 456, 310, 398 is 410862062520.

2. How to calculate the LCM of 234, 749, 456, 310, 398?

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 234, 749, 456, 310, 398.

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}.