Given numbers are 149,971,596,243,749

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

The LCM of 149,971,596,243,749 is 105330363012.

Find LCM of 149,971,596,243,749 with Prime Factorization

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

149 x 1 x 971 x 4 x 243 x 749 = 105330363012

Therefore, the lowest common multiple of 149,971,596,243,749 is 105330363012.

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.

149 x 971 x 596 x 243 x 749 = 15694224088788

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.

149 : 1, 149

971 : 1, 971

596 : 1, 2, 4, 149, 298, 596

243 : 1, 3, 9, 27, 81, 243

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,971,596,243,749, is 1.

Now, the common factors can be found like this.

149:149

971:971

596:2x 2x 149

243:3x 3x 3x 3x 3

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.

149 = 149

Therefore, the value for common factors is 149.

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 = 15694224088788/(1x149)

LCM = 15694224088788/149

LCM = 105330363012

Thus, we can understand that the LCM of 149,971,596,243,749 is 105330363012.

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

• LCM of 246, 370, 312, 975, 333
• LCM of 849, 919, 239, 320, 446
• LCM of 366, 419, 904, 126, 443
• LCM of 269, 729, 877, 406, 882
• LCM of 144, 284, 421, 152, 822

1. What is the LCM of 149, 971, 596, 243, 749?

Answer: LCM of 149, 971, 596, 243, 749 is 105330363012.

2. How to calculate the LCM of 149, 971, 596, 243, 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 149, 971, 596, 243, 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}.