Given numbers are 148,154,506,583

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

The LCM of 148,154,506,583 is 13891724.

Find LCM of 148,154,506,583 with Prime Factorization

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

2 x 11 x 74 x 7 x 23 x 53 = 13891724

Therefore, the lowest common multiple of 148,154,506,583 is 13891724.

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.

148 x 154 x 506 x 583 = 6723594416

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.

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

154 : 1, 2, 7, 11, 14, 22, 77, 154

506 : 1, 2, 11, 22, 23, 46, 253, 506

583 : 1, 11, 53, 583

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,154,506,583, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

154:2x 7x 11

506:2x 11x 23

583:11x 53

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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 6723594416/(1x484)

LCM = 6723594416/484

LCM = 13891724

Thus, we can understand that the LCM of 148,154,506,583 is 13891724.

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

• LCM of 222, 797, 971, 685
• LCM of 168, 434, 419, 972
• LCM of 141, 998, 941, 764
• LCM of 342, 953, 770, 704
• LCM of 483, 171, 910, 607

1. What is the LCM of 148, 154, 506, 583?

Answer: LCM of 148, 154, 506, 583 is 13891724.

2. How to calculate the LCM of 148, 154, 506, 583?

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 148, 154, 506, 583.

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}.