Given numbers are 492,681,141,453,523

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

The LCM of 492,681,141,453,523 is 414540965004.

Find LCM of 492,681,141,453,523 with Prime Factorization

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

3 x 164 x 227 x 47 x 151 x 523 = 414540965004

Therefore, the lowest common multiple of 492,681,141,453,523 is 414540965004.

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.

492 x 681 x 141 x 453 x 523 = 11192606055108

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

681 : 1, 3, 227, 681

141 : 1, 3, 47, 141

453 : 1, 3, 151, 453

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,681,141,453,523, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

681:3x 227

141:3x 47

453:3x 151

523:523

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 11192606055108/(1x27)

LCM = 11192606055108/27

LCM = 414540965004

Thus, we can understand that the LCM of 492,681,141,453,523 is 414540965004.

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

• LCM of 823, 427, 962, 266, 820
• LCM of 739, 976, 597, 618, 175
• LCM of 895, 971, 359, 422, 778
• LCM of 294, 844, 742, 924, 329
• LCM of 858, 951, 700, 602, 996

1. What is the LCM of 492, 681, 141, 453, 523?

Answer: LCM of 492, 681, 141, 453, 523 is 414540965004.

2. How to calculate the LCM of 492, 681, 141, 453, 523?

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 492, 681, 141, 453, 523.

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}.