Given numbers are 936,840,279,261,557

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

The LCM of 936,840,279,261,557 is 16404340680.

Find LCM of 936,840,279,261,557 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 35 x 31 x 29 x 557 = 16404340680

Therefore, the lowest common multiple of 936,840,279,261,557 is 16404340680.

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.

936 x 840 x 279 x 261 x 557 = 31890038281920

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.

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

279 : 1, 3, 9, 31, 93, 279

261 : 1, 3, 9, 29, 87, 261

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,840,279,261,557, is 1.

Now, the common factors can be found like this.

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

840:2x 2x 2x 3x 5x 7

279:3x 3x 31

261:3x 3x 29

557:557

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 3x 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 31890038281920/(1x1944)

LCM = 31890038281920/1944

LCM = 16404340680

Thus, we can understand that the LCM of 936,840,279,261,557 is 16404340680.

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

• LCM of 505, 526, 310, 472, 868
• LCM of 304, 384, 665, 904, 423
• LCM of 712, 285, 836, 521, 525
• LCM of 278, 634, 223, 347, 116
• LCM of 867, 490, 523, 576, 715

1. What is the LCM of 936, 840, 279, 261, 557?

Answer: LCM of 936, 840, 279, 261, 557 is 16404340680.

2. How to calculate the LCM of 936, 840, 279, 261, 557?

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 936, 840, 279, 261, 557.

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}.