Given numbers are 467,119,420

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

The LCM of 467,119,420 is 3334380.

Find LCM of 467,119,420 with Prime Factorization

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

7 x 467 x 17 x 60 = 3334380

Therefore, the lowest common multiple of 467,119,420 is 3334380.

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.

467 x 119 x 420 = 23340660

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.

467 : 1, 467

119 : 1, 7, 17, 119

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,119,420, is 1.

Now, the common factors can be found like this.

467:467

119:7x 17

420:2x 2x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7 = 7

Therefore, the value for common factors is 7.

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 = 23340660/(1x7)

LCM = 23340660/7

LCM = 3334380

Thus, we can understand that the LCM of 467,119,420 is 3334380.

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

• LCM of 758, 867, 684
• LCM of 153, 712, 726
• LCM of 186, 855, 861
• LCM of 598, 217, 513
• LCM of 772, 470, 739

1. What is the LCM of 467, 119, 420?

Answer: LCM of 467, 119, 420 is 3334380.

2. How to calculate the LCM of 467, 119, 420?

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 467, 119, 420.

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}.