Given numbers are 252,168,740,156,578

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

The LCM of 252,168,740,156,578 is 350302680.

Find LCM of 252,168,740,156,578 with Prime Factorization

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

2 x 2 x 3 x 7 x 3 x 2 x 185 x 13 x 289 = 350302680

Therefore, the lowest common multiple of 252,168,740,156,578 is 350302680.

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.

252 x 168 x 740 x 156 x 578 = 2824840811520

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

578 : 1, 2, 17, 34, 289, 578

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,168,740,156,578, is 2.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

168:2x 2x 2x 3x 7

740:2x 2x 5x 37

156:2x 2x 3x 13

578:2x 17x 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 2x 2x 2x 2x 2x 3x 3x 7 = 4032

Therefore, the value for common factors is 4032.

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 = 2824840811520/(2x4032)

LCM = 2824840811520/8064

LCM = 350302680

Thus, we can understand that the LCM of 252,168,740,156,578 is 350302680.

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

• LCM of 708, 658, 302, 391, 469
• LCM of 965, 556, 142, 522, 486
• LCM of 978, 626, 167, 406, 530
• LCM of 720, 793, 816, 611, 124
• LCM of 869, 705, 624, 563, 369

1. What is the LCM of 252, 168, 740, 156, 578?

Answer: LCM of 252, 168, 740, 156, 578 is 350302680.

2. How to calculate the LCM of 252, 168, 740, 156, 578?

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 252, 168, 740, 156, 578.

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}.