Given numbers are 270,767,624,544

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

The LCM of 270,767,624,544 is 56328480.

Find LCM of 270,767,624,544 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 45 x 59 x 1 x 34 = 56328480

Therefore, the lowest common multiple of 270,767,624,544 is 56328480.

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.

270 x 767 x 624 x 544 = 70297943040

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

767 : 1, 13, 59, 767

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,767,624,544, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

767:13x 59

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

544:2x 2x 2x 2x 2x 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 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 70297943040/(1x1248)

LCM = 70297943040/1248

LCM = 56328480

Thus, we can understand that the LCM of 270,767,624,544 is 56328480.

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

• LCM of 393, 560, 438, 991
• LCM of 119, 543, 405, 595
• LCM of 101, 477, 462, 170
• LCM of 167, 799, 883, 138
• LCM of 299, 868, 696, 766

1. What is the LCM of 270, 767, 624, 544?

Answer: LCM of 270, 767, 624, 544 is 56328480.

2. How to calculate the LCM of 270, 767, 624, 544?

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 270, 767, 624, 544.

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}.