Given numbers are 930,624,146,534,753

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

The LCM of 930,624,146,534,753 is 157725849840.

Find LCM of 930,624,146,534,753 with Prime Factorization

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

2 x 3 x 155 x 104 x 73 x 89 x 251 = 157725849840

Therefore, the lowest common multiple of 930,624,146,534,753 is 157725849840.

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.

930 x 624 x 146 x 534 x 753 = 34068783565440

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

146 : 1, 2, 73, 146

534 : 1, 2, 3, 6, 89, 178, 267, 534

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,624,146,534,753, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

624:2x 2x 2x 2x 3x 13

146:2x 73

534:2x 3x 89

753:3x 251

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 34068783565440/(1x216)

LCM = 34068783565440/216

LCM = 157725849840

Thus, we can understand that the LCM of 930,624,146,534,753 is 157725849840.

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

• LCM of 378, 241, 292, 625, 881
• LCM of 680, 155, 330, 963, 978
• LCM of 988, 271, 415, 886, 337
• LCM of 540, 678, 717, 179, 570
• LCM of 117, 928, 318, 147, 260

1. What is the LCM of 930, 624, 146, 534, 753?

Answer: LCM of 930, 624, 146, 534, 753 is 157725849840.

2. How to calculate the LCM of 930, 624, 146, 534, 753?

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 930, 624, 146, 534, 753.

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}.