Given numbers are 624,395,119,138

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

The LCM of 624,395,119,138 is 674615760.

Find LCM of 624,395,119,138 with Prime Factorization

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

2 x 3 x 104 x 395 x 119 x 23 = 674615760

Therefore, the lowest common multiple of 624,395,119,138 is 674615760.

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.

624 x 395 x 119 x 138 = 4047694560

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

395 : 1, 5, 79, 395

119 : 1, 7, 17, 119

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,395,119,138, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

395:5x 79

119:7x 17

138:2x 3x 23

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4047694560/(1x6)

LCM = 4047694560/6

LCM = 674615760

Thus, we can understand that the LCM of 624,395,119,138 is 674615760.

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

• LCM of 172, 750, 592, 675
• LCM of 102, 634, 493, 567
• LCM of 181, 738, 605, 825
• LCM of 983, 441, 787, 457
• LCM of 822, 730, 986, 572

1. What is the LCM of 624, 395, 119, 138?

Answer: LCM of 624, 395, 119, 138 is 674615760.

2. How to calculate the LCM of 624, 395, 119, 138?

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 624, 395, 119, 138.

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}.