Given numbers are 145,821,428,811,749

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

The LCM of 145,821,428,811,749 is 289250303020.

Find LCM of 145,821,428,811,749 with Prime Factorization

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

107 x 145 x 821 x 4 x 811 x 7 = 289250303020

Therefore, the lowest common multiple of 145,821,428,811,749 is 289250303020.

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.

145 x 821 x 428 x 811 x 749 = 30949782423140

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.

145 : 1, 5, 29, 145

821 : 1, 821

428 : 1, 2, 4, 107, 214, 428

811 : 1, 811

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,821,428,811,749, is 1.

Now, the common factors can be found like this.

145:5x 29

821:821

428:2x 2x 107

811:811

749:7x 107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 30949782423140/(1x107)

LCM = 30949782423140/107

LCM = 289250303020

Thus, we can understand that the LCM of 145,821,428,811,749 is 289250303020.

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

• LCM of 806, 990, 836, 530, 652
• LCM of 518, 127, 190, 385, 428
• LCM of 778, 254, 944, 215, 899
• LCM of 807, 675, 100, 731, 754
• LCM of 402, 548, 367, 276, 945

1. What is the LCM of 145, 821, 428, 811, 749?

Answer: LCM of 145, 821, 428, 811, 749 is 289250303020.

2. How to calculate the LCM of 145, 821, 428, 811, 749?

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 145, 821, 428, 811, 749.

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}.