Given numbers are 343,868,506,269

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

The LCM of 343,868,506,269 is 2894600324.

Find LCM of 343,868,506,269 with Prime Factorization

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

2 x 7 x 49 x 62 x 253 x 269 = 2894600324

Therefore, the lowest common multiple of 343,868,506,269 is 2894600324.

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.

343 x 868 x 506 x 269 = 40524404536

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.

343 : 1, 7, 49, 343

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

506 : 1, 2, 11, 22, 23, 46, 253, 506

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,868,506,269, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

868:2x 2x 7x 31

506:2x 11x 23

269:269

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 40524404536/(1x14)

LCM = 40524404536/14

LCM = 2894600324

Thus, we can understand that the LCM of 343,868,506,269 is 2894600324.

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

• LCM of 768, 426, 112, 315
• LCM of 348, 784, 142, 222
• LCM of 999, 950, 542, 655
• LCM of 769, 920, 104, 136
• LCM of 314, 405, 614, 927

1. What is the LCM of 343, 868, 506, 269?

Answer: LCM of 343, 868, 506, 269 is 2894600324.

2. How to calculate the LCM of 343, 868, 506, 269?

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 343, 868, 506, 269.

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}.