Given numbers are 546,409,254,148

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

The LCM of 546,409,254,148 is 2098704972.

Find LCM of 546,409,254,148 with Prime Factorization

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

2 x 273 x 409 x 127 x 74 = 2098704972

Therefore, the lowest common multiple of 546,409,254,148 is 2098704972.

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 409 x 254 x 148 = 8394819888

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

409 : 1, 409

254 : 1, 2, 127, 254

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,409,254,148, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

409:409

254:2x 127

148:2x 2x 37

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 8394819888/(1x4)

LCM = 8394819888/4

LCM = 2098704972

Thus, we can understand that the LCM of 546,409,254,148 is 2098704972.

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

• LCM of 769, 129, 398, 144
• LCM of 650, 809, 162, 194
• LCM of 654, 856, 444, 226
• LCM of 578, 864, 749, 762
• LCM of 651, 742, 825, 345

1. What is the LCM of 546, 409, 254, 148?

Answer: LCM of 546, 409, 254, 148 is 2098704972.

2. How to calculate the LCM of 546, 409, 254, 148?

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, 409, 254, 148.

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}.