Given numbers are 978,578,587,994,772

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

The LCM of 978,578,587,994,772 is 31828670053068.

Find LCM of 978,578,587,994,772 with Prime Factorization

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

2 x 489 x 289 x 587 x 497 x 386 = 31828670053068

Therefore, the lowest common multiple of 978,578,587,994,772 is 31828670053068.

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.

978 x 578 x 587 x 994 x 772 = 254629360424544

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.

978 : 1, 2, 3, 6, 163, 326, 489, 978

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

587 : 1, 587

994 : 1, 2, 7, 14, 71, 142, 497, 994

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,578,587,994,772, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

578:2x 17x 17

587:587

994:2x 7x 71

772:2x 2x 193

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 2 = 8

Therefore, the value for common factors is 8.

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 = 254629360424544/(1x8)

LCM = 254629360424544/8

LCM = 31828670053068

Thus, we can understand that the LCM of 978,578,587,994,772 is 31828670053068.

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

• LCM of 666, 636, 858, 695, 493
• LCM of 143, 638, 225, 844, 309
• LCM of 798, 739, 335, 539, 632
• LCM of 303, 976, 908, 115, 899
• LCM of 135, 421, 466, 235, 974

1. What is the LCM of 978, 578, 587, 994, 772?

Answer: LCM of 978, 578, 587, 994, 772 is 31828670053068.

2. How to calculate the LCM of 978, 578, 587, 994, 772?

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 978, 578, 587, 994, 772.

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}.