Given numbers are 597,348,652,420

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

The LCM of 597,348,652,420 is 395082660.

Find LCM of 597,348,652,420 with Prime Factorization

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

2 x 2 x 3 x 199 x 29 x 163 x 35 = 395082660

Therefore, the lowest common multiple of 597,348,652,420 is 395082660.

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.

597 x 348 x 652 x 420 = 56891903040

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.

597 : 1, 3, 199, 597

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

652 : 1, 2, 4, 163, 326, 652

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 597,348,652,420, is 1.

Now, the common factors can be found like this.

597:3x 199

348:2x 2x 3x 29

652:2x 2x 163

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.

2x 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 56891903040/(1x144)

LCM = 56891903040/144

LCM = 395082660

Thus, we can understand that the LCM of 597,348,652,420 is 395082660.

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

• LCM of 706, 714, 836, 567
• LCM of 700, 435, 569, 724
• LCM of 300, 208, 803, 491
• LCM of 630, 172, 697, 658
• LCM of 685, 892, 839, 500

1. What is the LCM of 597, 348, 652, 420?

Answer: LCM of 597, 348, 652, 420 is 395082660.

2. How to calculate the LCM of 597, 348, 652, 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 597, 348, 652, 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}.