Given numbers are 292,254,844,252,406

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

The LCM of 292,254,844,252,406 is 14295770748.

Find LCM of 292,254,844,252,406 with Prime Factorization

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

2 x 2 x 7 x 73 x 127 x 211 x 9 x 29 = 14295770748

Therefore, the lowest common multiple of 292,254,844,252,406 is 14295770748.

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 254 x 844 x 252 x 406 = 6404505295104

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

254 : 1, 2, 127, 254

844 : 1, 2, 4, 211, 422, 844

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,254,844,252,406, is 2.

Now, the common factors can be found like this.

292:2x 2x 73

254:2x 127

844:2x 2x 211

252:2x 2x 3x 3x 7

406:2x 7x 29

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 7 = 224

Therefore, the value for common factors is 224.

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 = 6404505295104/(2x224)

LCM = 6404505295104/448

LCM = 14295770748

Thus, we can understand that the LCM of 292,254,844,252,406 is 14295770748.

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

• LCM of 107, 154, 720, 103, 292
• LCM of 925, 486, 189, 410, 236
• LCM of 491, 230, 401, 974, 650
• LCM of 690, 637, 969, 336, 640
• LCM of 655, 955, 210, 111, 995

1. What is the LCM of 292, 254, 844, 252, 406?

Answer: LCM of 292, 254, 844, 252, 406 is 14295770748.

2. How to calculate the LCM of 292, 254, 844, 252, 406?

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, 254, 844, 252, 406.

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}.