Given numbers are 526,778,936,978,357

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

The LCM of 526,778,936,978,357 is 1857444150744.

Find LCM of 526,778,936,978,357 with Prime Factorization

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

2 x 3 x 263 x 389 x 156 x 163 x 119 = 1857444150744

Therefore, the lowest common multiple of 526,778,936,978,357 is 1857444150744.

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.

526 x 778 x 936 x 978 x 357 = 133735978853568

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.

526 : 1, 2, 263, 526

778 : 1, 2, 389, 778

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,778,936,978,357, is 1.

Now, the common factors can be found like this.

526:2x 263

778:2x 389

936:2x 2x 2x 3x 3x 13

978:2x 3x 163

357:3x 7x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 133735978853568/(1x72)

LCM = 133735978853568/72

LCM = 1857444150744

Thus, we can understand that the LCM of 526,778,936,978,357 is 1857444150744.

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

• LCM of 766, 923, 353, 828, 436
• LCM of 788, 498, 729, 237, 236
• LCM of 277, 196, 508, 476, 686
• LCM of 174, 517, 300, 864, 692
• LCM of 885, 602, 161, 703, 455

1. What is the LCM of 526, 778, 936, 978, 357?

Answer: LCM of 526, 778, 936, 978, 357 is 1857444150744.

2. How to calculate the LCM of 526, 778, 936, 978, 357?

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 526, 778, 936, 978, 357.

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}.