Given numbers are 760,658,706,924,112

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

The LCM of 760,658,706,924,112 is 5825431920.

Find LCM of 760,658,706,924,112 with Prime Factorization

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

2 x 2 x 2 x 7 x 95 x 47 x 353 x 33 x 2 = 5825431920

Therefore, the lowest common multiple of 760,658,706,924,112 is 5825431920.

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.

760 x 658 x 706 x 924 x 112 = 36537109002240

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

658 : 1, 2, 7, 14, 47, 94, 329, 658

706 : 1, 2, 353, 706

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,658,706,924,112, is 2.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

658:2x 7x 47

706:2x 353

924:2x 2x 3x 7x 11

112:2x 2x 2x 2x 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 2x 2x 2x 7x 7 = 3136

Therefore, the value for common factors is 3136.

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 = 36537109002240/(2x3136)

LCM = 36537109002240/6272

LCM = 5825431920

Thus, we can understand that the LCM of 760,658,706,924,112 is 5825431920.

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

• LCM of 332, 767, 481, 491, 954
• LCM of 693, 636, 433, 956, 900
• LCM of 800, 584, 299, 697, 150
• LCM of 175, 182, 621, 360, 570
• LCM of 140, 945, 871, 276, 294

1. What is the LCM of 760, 658, 706, 924, 112?

Answer: LCM of 760, 658, 706, 924, 112 is 5825431920.

2. How to calculate the LCM of 760, 658, 706, 924, 112?

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 760, 658, 706, 924, 112.

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}.