Given numbers are 523,236,520,140,354

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

The LCM of 523,236,520,140,354 is 336958440.

Find LCM of 523,236,520,140,354 with Prime Factorization

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

2 x 2 x 5 x 59 x 523 x 1 x 26 x 7 x 3 = 336958440

Therefore, the lowest common multiple of 523,236,520,140,354 is 336958440.

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.

523 x 236 x 520 x 140 x 354 = 3180887673600

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.

523 : 1, 523

236 : 1, 2, 4, 59, 118, 236

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,236,520,140,354, is 1.

Now, the common factors can be found like this.

523:523

236:2x 2x 59

520:2x 2x 2x 5x 13

140:2x 2x 5x 7

354:2x 3x 59

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 2x 5x 59 = 9440

Therefore, the value for common factors is 9440.

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 = 3180887673600/(1x9440)

LCM = 3180887673600/9440

LCM = 336958440

Thus, we can understand that the LCM of 523,236,520,140,354 is 336958440.

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

• LCM of 609, 673, 974, 539, 705
• LCM of 130, 780, 169, 665, 777
• LCM of 316, 521, 453, 592, 906
• LCM of 421, 393, 807, 639, 235
• LCM of 912, 778, 114, 944, 996

1. What is the LCM of 523, 236, 520, 140, 354?

Answer: LCM of 523, 236, 520, 140, 354 is 336958440.

2. How to calculate the LCM of 523, 236, 520, 140, 354?

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 523, 236, 520, 140, 354.

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}.