Given numbers are 577,168,174,117

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

The LCM of 577,168,174,117 is 109634616.

Find LCM of 577,168,174,117 with Prime Factorization

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

2 x 3 x 577 x 28 x 29 x 39 = 109634616

Therefore, the lowest common multiple of 577,168,174,117 is 109634616.

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.

577 x 168 x 174 x 117 = 1973423088

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.

577 : 1, 577

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

174 : 1, 2, 3, 6, 29, 58, 87, 174

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,168,174,117, is 1.

Now, the common factors can be found like this.

577:577

168:2x 2x 2x 3x 7

174:2x 3x 29

117:3x 3x 13

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 1973423088/(1x18)

LCM = 1973423088/18

LCM = 109634616

Thus, we can understand that the LCM of 577,168,174,117 is 109634616.

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

• LCM of 908, 954, 201, 145
• LCM of 902, 557, 581, 923
• LCM of 695, 805, 117, 576
• LCM of 530, 673, 199, 622
• LCM of 146, 108, 712, 518

1. What is the LCM of 577, 168, 174, 117?

Answer: LCM of 577, 168, 174, 117 is 109634616.

2. How to calculate the LCM of 577, 168, 174, 117?

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 577, 168, 174, 117.

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}.