Given numbers are 553,504,118,974

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

The LCM of 553,504,118,974 is 1144033128.

Find LCM of 553,504,118,974 with Prime Factorization

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

2 x 7 x 79 x 36 x 59 x 487 = 1144033128

Therefore, the lowest common multiple of 553,504,118,974 is 1144033128.

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.

553 x 504 x 118 x 974 = 32032927584

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.

553 : 1, 7, 79, 553

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

118 : 1, 2, 59, 118

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,504,118,974, is 1.

Now, the common factors can be found like this.

553:7x 79

504:2x 2x 2x 3x 3x 7

118:2x 59

974:2x 487

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 7 = 28

Therefore, the value for common factors is 28.

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 = 32032927584/(1x28)

LCM = 32032927584/28

LCM = 1144033128

Thus, we can understand that the LCM of 553,504,118,974 is 1144033128.

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

• LCM of 218, 924, 396, 576
• LCM of 575, 812, 575, 201
• LCM of 161, 258, 934, 520
• LCM of 117, 920, 312, 704
• LCM of 673, 541, 271, 496

1. What is the LCM of 553, 504, 118, 974?

Answer: LCM of 553, 504, 118, 974 is 1144033128.

2. How to calculate the LCM of 553, 504, 118, 974?

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 553, 504, 118, 974.

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}.