Given numbers are 146,252,226,610,753

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

The LCM of 146,252,226,610,753 is 159138553140.

Find LCM of 146,252,226,610,753 with Prime Factorization

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

2 x 3 x 73 x 42 x 113 x 305 x 251 = 159138553140

Therefore, the lowest common multiple of 146,252,226,610,753 is 159138553140.

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.

146 x 252 x 226 x 610 x 753 = 3819325275360

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.

146 : 1, 2, 73, 146

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

226 : 1, 2, 113, 226

610 : 1, 2, 5, 10, 61, 122, 305, 610

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,252,226,610,753, is 1.

Now, the common factors can be found like this.

146:2x 73

252:2x 2x 3x 3x 7

226:2x 113

610:2x 5x 61

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 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 = 3819325275360/(1x24)

LCM = 3819325275360/24

LCM = 159138553140

Thus, we can understand that the LCM of 146,252,226,610,753 is 159138553140.

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

• LCM of 684, 569, 176, 372, 626
• LCM of 884, 168, 877, 981, 676
• LCM of 576, 690, 999, 918, 813
• LCM of 663, 300, 994, 897, 668
• LCM of 146, 854, 648, 649, 455

1. What is the LCM of 146, 252, 226, 610, 753?

Answer: LCM of 146, 252, 226, 610, 753 is 159138553140.

2. How to calculate the LCM of 146, 252, 226, 610, 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 146, 252, 226, 610, 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}.