Given numbers are 546,746,414,652

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

The LCM of 546,746,414,652 is 4581083052.

Find LCM of 546,746,414,652 with Prime Factorization

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

2 x 3 x 91 x 373 x 69 x 326 = 4581083052

Therefore, the lowest common multiple of 546,746,414,652 is 4581083052.

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.

546 x 746 x 414 x 652 = 109945993248

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

746 : 1, 2, 373, 746

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,746,414,652, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

746:2x 373

414:2x 3x 3x 23

652:2x 2x 163

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 3 = 12

Therefore, the value for common factors is 12.

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 = 109945993248/(2x12)

LCM = 109945993248/24

LCM = 4581083052

Thus, we can understand that the LCM of 546,746,414,652 is 4581083052.

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

• LCM of 576, 257, 181, 219
• LCM of 243, 215, 305, 703
• LCM of 674, 116, 268, 719
• LCM of 745, 392, 320, 480
• LCM of 458, 623, 748, 646

1. What is the LCM of 546, 746, 414, 652?

Answer: LCM of 546, 746, 414, 652 is 4581083052.

2. How to calculate the LCM of 546, 746, 414, 652?

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 546, 746, 414, 652.

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}.