Given numbers are 292,224,834,679,734

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

The LCM of 292,224,834,679,734 is 242741891616.

Find LCM of 292,224,834,679,734 with Prime Factorization

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

2 x 2 x 7 x 73 x 8 x 417 x 97 x 367 = 242741891616

Therefore, the lowest common multiple of 292,224,834,679,734 is 242741891616.

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.

292 x 224 x 834 x 679 x 734 = 27187091860992

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.

292 : 1, 2, 4, 73, 146, 292

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

834 : 1, 2, 3, 6, 139, 278, 417, 834

679 : 1, 7, 97, 679

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,224,834,679,734, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

224:2x 2x 2x 2x 2x 7

834:2x 3x 139

679:7x 97

734:2x 367

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 7 = 112

Therefore, the value for common factors is 112.

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 = 27187091860992/(1x112)

LCM = 27187091860992/112

LCM = 242741891616

Thus, we can understand that the LCM of 292,224,834,679,734 is 242741891616.

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

• LCM of 649, 692, 790, 184, 448
• LCM of 365, 867, 212, 310, 172
• LCM of 566, 659, 654, 102, 311
• LCM of 672, 479, 571, 748, 895
• LCM of 694, 268, 296, 243, 314

1. What is the LCM of 292, 224, 834, 679, 734?

Answer: LCM of 292, 224, 834, 679, 734 is 242741891616.

2. How to calculate the LCM of 292, 224, 834, 679, 734?

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 292, 224, 834, 679, 734.

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}.