Given numbers are 273,157,117,115,584

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

The LCM of 273,157,117,115,584 is 8635634280.

Find LCM of 273,157,117,115,584 with Prime Factorization

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

3 x 13 x 7 x 157 x 3 x 115 x 584 = 8635634280

Therefore, the lowest common multiple of 273,157,117,115,584 is 8635634280.

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.

273 x 157 x 117 x 115 x 584 = 336789736920

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

157 : 1, 157

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

115 : 1, 5, 23, 115

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,157,117,115,584, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

157:157

117:3x 3x 13

115:5x 23

584:2x 2x 2x 73

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 336789736920/(1x39)

LCM = 336789736920/39

LCM = 8635634280

Thus, we can understand that the LCM of 273,157,117,115,584 is 8635634280.

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

• LCM of 488, 871, 483, 879, 929
• LCM of 681, 285, 271, 661, 644
• LCM of 605, 504, 237, 871, 952
• LCM of 672, 290, 248, 268, 672
• LCM of 164, 972, 798, 623, 164

1. What is the LCM of 273, 157, 117, 115, 584?

Answer: LCM of 273, 157, 117, 115, 584 is 8635634280.

2. How to calculate the LCM of 273, 157, 117, 115, 584?

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 273, 157, 117, 115, 584.

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}.