Given numbers are 824,900,119,874

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

The LCM of 824,900,119,874 is 9641356200.

Find LCM of 824,900,119,874 with Prime Factorization

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

2 x 2 x 206 x 225 x 119 x 437 = 9641356200

Therefore, the lowest common multiple of 824,900,119,874 is 9641356200.

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.

824 x 900 x 119 x 874 = 77130849600

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

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

119 : 1, 7, 17, 119

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,900,119,874, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

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

119:7x 17

874:2x 19x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 77130849600/(1x8)

LCM = 77130849600/8

LCM = 9641356200

Thus, we can understand that the LCM of 824,900,119,874 is 9641356200.

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

• LCM of 911, 508, 521, 609
• LCM of 413, 406, 491, 154
• LCM of 743, 275, 152, 935
• LCM of 182, 185, 648, 626
• LCM of 160, 375, 370, 344

1. What is the LCM of 824, 900, 119, 874?

Answer: LCM of 824, 900, 119, 874 is 9641356200.

2. How to calculate the LCM of 824, 900, 119, 874?

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 824, 900, 119, 874.

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}.