Given numbers are 488,722,984,224,769

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

The LCM of 488,722,984,224,769 is 466569673248.

Find LCM of 488,722,984,224,769 with Prime Factorization

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

2 x 2 x 2 x 61 x 361 x 123 x 28 x 769 = 466569673248

Therefore, the lowest common multiple of 488,722,984,224,769 is 466569673248.

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.

488 x 722 x 984 x 224 x 769 = 59720918175744

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

722 : 1, 2, 19, 38, 361, 722

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,722,984,224,769, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

722:2x 19x 19

984:2x 2x 2x 3x 41

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

769:769

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 2 = 128

Therefore, the value for common factors is 128.

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 = 59720918175744/(1x128)

LCM = 59720918175744/128

LCM = 466569673248

Thus, we can understand that the LCM of 488,722,984,224,769 is 466569673248.

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

• LCM of 628, 988, 152, 840, 965
• LCM of 119, 786, 323, 326, 200
• LCM of 122, 208, 336, 547, 525
• LCM of 376, 298, 492, 596, 941
• LCM of 637, 734, 383, 380, 976

1. What is the LCM of 488, 722, 984, 224, 769?

Answer: LCM of 488, 722, 984, 224, 769 is 466569673248.

2. How to calculate the LCM of 488, 722, 984, 224, 769?

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 488, 722, 984, 224, 769.

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}.