Given numbers are 924,922,235,120,912

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

The LCM of 924,922,235,120,912 is 7607717040.

Find LCM of 924,922,235,120,912 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 77 x 461 x 47 x 1 x 38 = 7607717040

Therefore, the lowest common multiple of 924,922,235,120,912 is 7607717040.

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.

924 x 922 x 235 x 120 x 912 = 21910225075200

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

922 : 1, 2, 461, 922

235 : 1, 5, 47, 235

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,922,235,120,912, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

922:2x 461

235:5x 47

120:2x 2x 2x 3x 5

912:2x 2x 2x 2x 3x 19

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 2x 3x 3x 5 = 2880

Therefore, the value for common factors is 2880.

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 = 21910225075200/(1x2880)

LCM = 21910225075200/2880

LCM = 7607717040

Thus, we can understand that the LCM of 924,922,235,120,912 is 7607717040.

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

• LCM of 160, 619, 955, 236, 313
• LCM of 646, 311, 731, 923, 847
• LCM of 741, 185, 684, 880, 673
• LCM of 721, 168, 563, 866, 770
• LCM of 511, 694, 897, 263, 462

1. What is the LCM of 924, 922, 235, 120, 912?

Answer: LCM of 924, 922, 235, 120, 912 is 7607717040.

2. How to calculate the LCM of 924, 922, 235, 120, 912?

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 924, 922, 235, 120, 912.

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}.