Given numbers are 749,103,409,409

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

The LCM of 749,103,409,409 is 31553123.

Find LCM of 749,103,409,409 with Prime Factorization

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

409 x 749 x 103 x 1 x 1 = 31553123

Therefore, the lowest common multiple of 749,103,409,409 is 31553123.

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.

749 x 103 x 409 x 409 = 12905227307

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.

749 : 1, 7, 107, 749

103 : 1, 103

409 : 1, 409

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,103,409,409, is 1.

Now, the common factors can be found like this.

749:7x 107

103:103

409:409

409:409

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

409 = 409

Therefore, the value for common factors is 409.

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 = 12905227307/(1x409)

LCM = 12905227307/409

LCM = 31553123

Thus, we can understand that the LCM of 749,103,409,409 is 31553123.

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

• LCM of 427, 181, 802, 769
• LCM of 545, 235, 233, 554
• LCM of 212, 715, 683, 882
• LCM of 730, 790, 120, 197
• LCM of 184, 309, 814, 620

1. What is the LCM of 749, 103, 409, 409?

Answer: LCM of 749, 103, 409, 409 is 31553123.

2. How to calculate the LCM of 749, 103, 409, 409?

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 749, 103, 409, 409.

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}.