Given numbers are 868,900,370,980,295

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

The LCM of 868,900,370,980,295 is 2984379300.

Find LCM of 868,900,370,980,295 with Prime Factorization

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

2 x 2 x 5 x 7 x 31 x 45 x 37 x 7 x 59 = 2984379300

Therefore, the lowest common multiple of 868,900,370,980,295 is 2984379300.

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.

868 x 900 x 370 x 980 x 295 = 83562620400000

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.

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

370 : 1, 2, 5, 10, 37, 74, 185, 370

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

295 : 1, 5, 59, 295

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,900,370,980,295, is 1.

Now, the common factors can be found like this.

868:2x 2x 7x 31

900:2x 2x 3x 3x 5x 5

370:2x 5x 37

980:2x 2x 5x 7x 7

295:5x 59

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 2x 2x 5x 5x 5x 7 = 28000

Therefore, the value for common factors is 28000.

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 = 83562620400000/(1x28000)

LCM = 83562620400000/28000

LCM = 2984379300

Thus, we can understand that the LCM of 868,900,370,980,295 is 2984379300.

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

• LCM of 485, 161, 181, 507, 185
• LCM of 313, 994, 906, 848, 899
• LCM of 948, 926, 882, 174, 757
• LCM of 295, 958, 407, 478, 197
• LCM of 204, 986, 588, 170, 588

1. What is the LCM of 868, 900, 370, 980, 295?

Answer: LCM of 868, 900, 370, 980, 295 is 2984379300.

2. How to calculate the LCM of 868, 900, 370, 980, 295?

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 868, 900, 370, 980, 295.

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}.