Given numbers are 420,571,918,542,293

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

The LCM of 420,571,918,542,293 is 2913491401380.

Find LCM of 420,571,918,542,293 with Prime Factorization

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

2 x 3 x 70 x 571 x 153 x 271 x 293 = 2913491401380

Therefore, the lowest common multiple of 420,571,918,542,293 is 2913491401380.

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.

420 x 571 x 918 x 542 x 293 = 34961896816560

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

571 : 1, 571

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

542 : 1, 2, 271, 542

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,571,918,542,293, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

571:571

918:2x 3x 3x 3x 17

542:2x 271

293:293

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 3 = 12

Therefore, the value for common factors is 12.

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 = 34961896816560/(1x12)

LCM = 34961896816560/12

LCM = 2913491401380

Thus, we can understand that the LCM of 420,571,918,542,293 is 2913491401380.

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

• LCM of 386, 448, 976, 513, 440
• LCM of 491, 280, 229, 243, 421
• LCM of 374, 793, 697, 574, 609
• LCM of 540, 473, 818, 828, 160
• LCM of 958, 959, 500, 626, 716

1. What is the LCM of 420, 571, 918, 542, 293?

Answer: LCM of 420, 571, 918, 542, 293 is 2913491401380.

2. How to calculate the LCM of 420, 571, 918, 542, 293?

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 420, 571, 918, 542, 293.

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}.