Given numbers are 870,175,305,169

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

The LCM of 870,175,305,169 is 313909050.

Find LCM of 870,175,305,169 with Prime Factorization

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

5 x 174 x 35 x 61 x 169 = 313909050

Therefore, the lowest common multiple of 870,175,305,169 is 313909050.

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.

870 x 175 x 305 x 169 = 7847726250

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

175 : 1, 5, 7, 25, 35, 175

305 : 1, 5, 61, 305

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,175,305,169, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

175:5x 5x 7

305:5x 61

169:13x 13

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 7847726250/(1x25)

LCM = 7847726250/25

LCM = 313909050

Thus, we can understand that the LCM of 870,175,305,169 is 313909050.

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

• LCM of 884, 686, 857, 700
• LCM of 865, 683, 201, 389
• LCM of 541, 540, 749, 385
• LCM of 880, 116, 138, 426
• LCM of 108, 259, 971, 962

1. What is the LCM of 870, 175, 305, 169?

Answer: LCM of 870, 175, 305, 169 is 313909050.

2. How to calculate the LCM of 870, 175, 305, 169?

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 870, 175, 305, 169.

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}.