Given numbers are 690,971,460,160,263

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

The LCM of 690,971,460,160,263 is 2819317920.

Find LCM of 690,971,460,160,263 with Prime Factorization

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

2 x 2 x 5 x 23 x 3 x 971 x 1 x 8 x 263 = 2819317920

Therefore, the lowest common multiple of 690,971,460,160,263 is 2819317920.

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.

690 x 971 x 460 x 160 x 263 = 12968862432000

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

971 : 1, 971

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

263 : 1, 263

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,971,460,160,263, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

971:971

460:2x 2x 5x 23

160:2x 2x 2x 2x 2x 5

263:263

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 2x 5x 5x 23 = 4600

Therefore, the value for common factors is 4600.

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 = 12968862432000/(1x4600)

LCM = 12968862432000/4600

LCM = 2819317920

Thus, we can understand that the LCM of 690,971,460,160,263 is 2819317920.

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

• LCM of 575, 400, 499, 972, 288
• LCM of 250, 818, 473, 793, 232
• LCM of 272, 432, 990, 885, 678
• LCM of 546, 337, 356, 851, 946
• LCM of 478, 874, 490, 164, 260

1. What is the LCM of 690, 971, 460, 160, 263?

Answer: LCM of 690, 971, 460, 160, 263 is 2819317920.

2. How to calculate the LCM of 690, 971, 460, 160, 263?

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 690, 971, 460, 160, 263.

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}.