Given numbers are 753,644,578,115

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

The LCM of 753,644,578,115 is 700726740.

Find LCM of 753,644,578,115 with Prime Factorization

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

2 x 23 x 753 x 14 x 289 x 5 = 700726740

Therefore, the lowest common multiple of 753,644,578,115 is 700726740.

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.

753 x 644 x 578 x 115 = 32233430040

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.

753 : 1, 3, 251, 753

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,644,578,115, is 1.

Now, the common factors can be found like this.

753:3x 251

644:2x 2x 7x 23

578:2x 17x 17

115:5x 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 23 = 46

Therefore, the value for common factors is 46.

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 = 32233430040/(1x46)

LCM = 32233430040/46

LCM = 700726740

Thus, we can understand that the LCM of 753,644,578,115 is 700726740.

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

• LCM of 584, 261, 382, 870
• LCM of 913, 158, 148, 396
• LCM of 498, 377, 959, 348
• LCM of 194, 272, 185, 360
• LCM of 107, 744, 377, 468

1. What is the LCM of 753, 644, 578, 115?

Answer: LCM of 753, 644, 578, 115 is 700726740.

2. How to calculate the LCM of 753, 644, 578, 115?

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 753, 644, 578, 115.

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}.