Given numbers are 426,900,776,340

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

The LCM of 426,900,776,340 is 210742200.

Find LCM of 426,900,776,340 with Prime Factorization

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

2 x 2 x 3 x 5 x 71 x 15 x 194 x 17 = 210742200

Therefore, the lowest common multiple of 426,900,776,340 is 210742200.

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.

426 x 900 x 776 x 340 = 101156256000

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

776 : 1, 2, 4, 8, 97, 194, 388, 776

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,900,776,340, is 2.

Now, the common factors can be found like this.

426:2x 3x 71

900:2x 2x 3x 3x 5x 5

776:2x 2x 2x 97

340:2x 2x 5x 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 2x 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 101156256000/(2x240)

LCM = 101156256000/480

LCM = 210742200

Thus, we can understand that the LCM of 426,900,776,340 is 210742200.

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

• LCM of 809, 429, 516, 123
• LCM of 316, 812, 871, 890
• LCM of 160, 346, 765, 802
• LCM of 464, 926, 528, 920
• LCM of 970, 479, 646, 634

1. What is the LCM of 426, 900, 776, 340?

Answer: LCM of 426, 900, 776, 340 is 210742200.

2. How to calculate the LCM of 426, 900, 776, 340?

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 426, 900, 776, 340.

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}.