Given numbers are 261,371,293,689

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

The LCM of 261,371,293,689 is 368829279.

Find LCM of 261,371,293,689 with Prime Factorization

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

53 x 261 x 7 x 293 x 13 = 368829279

Therefore, the lowest common multiple of 261,371,293,689 is 368829279.

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.

261 x 371 x 293 x 689 = 19547951787

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.

261 : 1, 3, 9, 29, 87, 261

371 : 1, 7, 53, 371

293 : 1, 293

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,371,293,689, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

371:7x 53

293:293

689:13x 53

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

53 = 53

Therefore, the value for common factors is 53.

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 = 19547951787/(1x53)

LCM = 19547951787/53

LCM = 368829279

Thus, we can understand that the LCM of 261,371,293,689 is 368829279.

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

• LCM of 254, 145, 105, 634
• LCM of 310, 747, 743, 679
• LCM of 364, 890, 691, 613
• LCM of 169, 398, 647, 443
• LCM of 700, 666, 863, 103

1. What is the LCM of 261, 371, 293, 689?

Answer: LCM of 261, 371, 293, 689 is 368829279.

2. How to calculate the LCM of 261, 371, 293, 689?

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 261, 371, 293, 689.

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}.