Given numbers are 214,961,749

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

The LCM of 214,961,749 is 1439578.

Find LCM of 214,961,749 with Prime Factorization

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

107 x 2 x 961 x 7 = 1439578

Therefore, the lowest common multiple of 214,961,749 is 1439578.

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.

214 x 961 x 749 = 154034846

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.

214 : 1, 2, 107, 214

961 : 1, 31, 961

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,961,749, is 1.

Now, the common factors can be found like this.

214:2x 107

961:31x 31

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 = 154034846/(1x107)

LCM = 154034846/107

LCM = 1439578

Thus, we can understand that the LCM of 214,961,749 is 1439578.

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

• LCM of 670, 191, 105
• LCM of 605, 811, 644
• LCM of 264, 520, 679
• LCM of 888, 519, 530
• LCM of 612, 518, 522

1. What is the LCM of 214, 961, 749?

Answer: LCM of 214, 961, 749 is 1439578.

2. How to calculate the LCM of 214, 961, 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 214, 961, 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}.