Given numbers are 523,420,520,946

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

The LCM of 523,420,520,946 is 2701378680.

Find LCM of 523,420,520,946 with Prime Factorization

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

2 x 2 x 5 x 523 x 21 x 26 x 473 = 2701378680

Therefore, the lowest common multiple of 523,420,520,946 is 2701378680.

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.

523 x 420 x 520 x 946 = 108055147200

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.

523 : 1, 523

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,420,520,946, is 1.

Now, the common factors can be found like this.

523:523

420:2x 2x 3x 5x 7

520:2x 2x 2x 5x 13

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 5 = 40

Therefore, the value for common factors is 40.

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 = 108055147200/(1x40)

LCM = 108055147200/40

LCM = 2701378680

Thus, we can understand that the LCM of 523,420,520,946 is 2701378680.

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

• LCM of 174, 355, 710, 139
• LCM of 153, 309, 932, 483
• LCM of 553, 898, 110, 989
• LCM of 354, 192, 719, 525
• LCM of 289, 209, 261, 899

1. What is the LCM of 523, 420, 520, 946?

Answer: LCM of 523, 420, 520, 946 is 2701378680.

2. How to calculate the LCM of 523, 420, 520, 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 523, 420, 520, 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}.