Given numbers are 456,673,460,542,307

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

The LCM of 456,673,460,542,307 is 2936198507640.

Find LCM of 456,673,460,542,307 with Prime Factorization

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

2 x 2 x 114 x 673 x 115 x 271 x 307 = 2936198507640

Therefore, the lowest common multiple of 456,673,460,542,307 is 2936198507640.

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.

456 x 673 x 460 x 542 x 307 = 23489588061120

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.

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

673 : 1, 673

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

542 : 1, 2, 271, 542

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,673,460,542,307, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

673:673

460:2x 2x 5x 23

542:2x 271

307:307

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 = 23489588061120/(1x8)

LCM = 23489588061120/8

LCM = 2936198507640

Thus, we can understand that the LCM of 456,673,460,542,307 is 2936198507640.

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

• LCM of 154, 677, 181, 289, 589
• LCM of 144, 941, 384, 912, 174
• LCM of 343, 214, 254, 614, 773
• LCM of 893, 328, 663, 697, 571
• LCM of 489, 883, 431, 965, 976

1. What is the LCM of 456, 673, 460, 542, 307?

Answer: LCM of 456, 673, 460, 542, 307 is 2936198507640.

2. How to calculate the LCM of 456, 673, 460, 542, 307?

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 456, 673, 460, 542, 307.

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}.