Given numbers are 546,524,661,677

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

The LCM of 546,524,661,677 is 64015340844.

Find LCM of 546,524,661,677 with Prime Factorization

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

2 x 273 x 262 x 661 x 677 = 64015340844

Therefore, the lowest common multiple of 546,524,661,677 is 64015340844.

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 524 x 661 x 677 = 128030681688

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

524 : 1, 2, 4, 131, 262, 524

661 : 1, 661

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,524,661,677, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

524:2x 2x 131

661:661

677:677

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

2 = 2

Therefore, the value for common factors is 2.

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 = 128030681688/(1x2)

LCM = 128030681688/2

LCM = 64015340844

Thus, we can understand that the LCM of 546,524,661,677 is 64015340844.

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

• LCM of 328, 498, 886, 694
• LCM of 545, 811, 748, 649
• LCM of 341, 163, 159, 161
• LCM of 214, 792, 882, 126
• LCM of 348, 105, 578, 810

1. What is the LCM of 546, 524, 661, 677?

Answer: LCM of 546, 524, 661, 677 is 64015340844.

2. How to calculate the LCM of 546, 524, 661, 677?

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, 524, 661, 677.

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}.