Given numbers are 724,117,296,119

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

The LCM of 724,117,296,119 is 745938648.

Find LCM of 724,117,296,119 with Prime Factorization

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

2 x 2 x 181 x 117 x 74 x 119 = 745938648

Therefore, the lowest common multiple of 724,117,296,119 is 745938648.

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.

724 x 117 x 296 x 119 = 2983754592

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.

724 : 1, 2, 4, 181, 362, 724

117 : 1, 3, 9, 13, 39, 117

296 : 1, 2, 4, 8, 37, 74, 148, 296

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,117,296,119, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

117:3x 3x 13

296:2x 2x 2x 37

119:7x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2983754592/(1x4)

LCM = 2983754592/4

LCM = 745938648

Thus, we can understand that the LCM of 724,117,296,119 is 745938648.

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

• LCM of 109, 736, 785, 452
• LCM of 796, 190, 459, 482
• LCM of 971, 543, 990, 934
• LCM of 370, 346, 432, 991
• LCM of 241, 633, 607, 214

1. What is the LCM of 724, 117, 296, 119?

Answer: LCM of 724, 117, 296, 119 is 745938648.

2. How to calculate the LCM of 724, 117, 296, 119?

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 724, 117, 296, 119.

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}.