Given numbers are 970,293,714,294,168

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

The LCM of 970,293,714,294,168 is 2840963160.

Find LCM of 970,293,714,294,168 with Prime Factorization

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

2 x 3 x 7 x 485 x 293 x 17 x 7 x 4 = 2840963160

Therefore, the lowest common multiple of 970,293,714,294,168 is 2840963160.

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.

970 x 293 x 714 x 294 x 168 = 10022918028480

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

293 : 1, 293

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,293,714,294,168, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

293:293

714:2x 3x 7x 17

294:2x 3x 7x 7

168:2x 2x 2x 3x 7

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 3x 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 10022918028480/(1x3528)

LCM = 10022918028480/3528

LCM = 2840963160

Thus, we can understand that the LCM of 970,293,714,294,168 is 2840963160.

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

• LCM of 649, 248, 161, 774, 521
• LCM of 650, 899, 722, 439, 440
• LCM of 542, 967, 173, 588, 200
• LCM of 363, 988, 941, 468, 623
• LCM of 264, 150, 337, 211, 745

1. What is the LCM of 970, 293, 714, 294, 168?

Answer: LCM of 970, 293, 714, 294, 168 is 2840963160.

2. How to calculate the LCM of 970, 293, 714, 294, 168?

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 970, 293, 714, 294, 168.

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}.