Given numbers are 376,540,523,178,398

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

The LCM of 376,540,523,178,398 is 470182418280.

Find LCM of 376,540,523,178,398 with Prime Factorization

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

2 x 2 x 94 x 135 x 523 x 89 x 199 = 470182418280

Therefore, the lowest common multiple of 376,540,523,178,398 is 470182418280.

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.

376 x 540 x 523 x 178 x 398 = 7522918692480

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

523 : 1, 523

178 : 1, 2, 89, 178

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,540,523,178,398, is 1.

Now, the common factors can be found like this.

376:2x 2x 2x 47

540:2x 2x 3x 3x 3x 5

523:523

178:2x 89

398:2x 199

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 2 = 16

Therefore, the value for common factors is 16.

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 = 7522918692480/(1x16)

LCM = 7522918692480/16

LCM = 470182418280

Thus, we can understand that the LCM of 376,540,523,178,398 is 470182418280.

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

• LCM of 415, 359, 427, 469, 503
• LCM of 111, 945, 566, 946, 614
• LCM of 764, 606, 528, 776, 317
• LCM of 683, 982, 178, 907, 564
• LCM of 122, 504, 593, 306, 369

1. What is the LCM of 376, 540, 523, 178, 398?

Answer: LCM of 376, 540, 523, 178, 398 is 470182418280.

2. How to calculate the LCM of 376, 540, 523, 178, 398?

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 376, 540, 523, 178, 398.

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}.