Given numbers are 406,546,292,840,946

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

The LCM of 406,546,292,840,946 is 10934643720.

Find LCM of 406,546,292,840,946 with Prime Factorization

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

2 x 2 x 3 x 7 x 29 x 13 x 73 x 10 x 473 = 10934643720

Therefore, the lowest common multiple of 406,546,292,840,946 is 10934643720.

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.

406 x 546 x 292 x 840 x 946 = 51436564058880

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

292 : 1, 2, 4, 73, 146, 292

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,546,292,840,946, is 2.

Now, the common factors can be found like this.

406:2x 7x 29

546:2x 3x 7x 13

292:2x 2x 73

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

946:2x 11x 43

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 2x 3x 7x 7 = 2352

Therefore, the value for common factors is 2352.

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 = 51436564058880/(2x2352)

LCM = 51436564058880/4704

LCM = 10934643720

Thus, we can understand that the LCM of 406,546,292,840,946 is 10934643720.

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

• LCM of 234, 418, 467, 815, 282
• LCM of 225, 619, 392, 893, 667
• LCM of 300, 952, 467, 648, 689
• LCM of 569, 543, 987, 271, 315
• LCM of 571, 630, 245, 318, 102

1. What is the LCM of 406, 546, 292, 840, 946?

Answer: LCM of 406, 546, 292, 840, 946 is 10934643720.

2. How to calculate the LCM of 406, 546, 292, 840, 946?

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 406, 546, 292, 840, 946.

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}.