Given numbers are 420,293,902,918

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

The LCM of 420,293,902,918 is 8491509180.

Find LCM of 420,293,902,918 with Prime Factorization

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

2 x 3 x 70 x 293 x 451 x 153 = 8491509180

Therefore, the lowest common multiple of 420,293,902,918 is 8491509180.

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 293 x 902 x 918 = 101898110160

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

293 : 1, 293

902 : 1, 2, 11, 22, 41, 82, 451, 902

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,293,902,918, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

293:293

902:2x 11x 41

918:2x 3x 3x 3x 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 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 = 101898110160/(1x12)

LCM = 101898110160/12

LCM = 8491509180

Thus, we can understand that the LCM of 420,293,902,918 is 8491509180.

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

• LCM of 488, 702, 697, 865
• LCM of 222, 717, 194, 939
• LCM of 790, 899, 274, 896
• LCM of 951, 506, 582, 765
• LCM of 145, 540, 813, 877

1. What is the LCM of 420, 293, 902, 918?

Answer: LCM of 420, 293, 902, 918 is 8491509180.

2. How to calculate the LCM of 420, 293, 902, 918?

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, 293, 902, 918.

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}.