Given numbers are 354,828,393,759,516

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

The LCM of 354,828,393,759,516 is 3027016476.

Find LCM of 354,828,393,759,516 with Prime Factorization

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

2 x 2 x 3 x 23 x 59 x 3 x 131 x 11 x 43 = 3027016476

Therefore, the lowest common multiple of 354,828,393,759,516 is 3027016476.

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.

354 x 828 x 393 x 759 x 516 = 45114653558304

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.

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

393 : 1, 3, 131, 393

759 : 1, 3, 11, 23, 33, 69, 253, 759

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,828,393,759,516, is 3.

Now, the common factors can be found like this.

354:2x 3x 59

828:2x 2x 3x 3x 23

393:3x 131

759:3x 11x 23

516:2x 2x 3x 43

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 3x 3x 3x 23 = 4968

Therefore, the value for common factors is 4968.

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 = 45114653558304/(3x4968)

LCM = 45114653558304/14904

LCM = 3027016476

Thus, we can understand that the LCM of 354,828,393,759,516 is 3027016476.

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

• LCM of 168, 479, 719, 383, 306
• LCM of 681, 728, 363, 544, 960
• LCM of 672, 163, 353, 644, 678
• LCM of 741, 282, 148, 597, 271
• LCM of 909, 893, 139, 777, 903

1. What is the LCM of 354, 828, 393, 759, 516?

Answer: LCM of 354, 828, 393, 759, 516 is 3027016476.

2. How to calculate the LCM of 354, 828, 393, 759, 516?

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 354, 828, 393, 759, 516.

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}.