Given numbers are 490,759,364,269

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

The LCM of 490,759,364,269 is 2601138540.

Find LCM of 490,759,364,269 with Prime Factorization

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

2 x 7 x 35 x 759 x 26 x 269 = 2601138540

Therefore, the lowest common multiple of 490,759,364,269 is 2601138540.

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.

490 x 759 x 364 x 269 = 36415939560

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

759 : 1, 3, 11, 23, 33, 69, 253, 759

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,759,364,269, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

759:3x 11x 23

364:2x 2x 7x 13

269:269

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 36415939560/(1x14)

LCM = 36415939560/14

LCM = 2601138540

Thus, we can understand that the LCM of 490,759,364,269 is 2601138540.

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

• LCM of 673, 873, 147, 912
• LCM of 349, 169, 988, 129
• LCM of 111, 418, 524, 501
• LCM of 279, 581, 624, 164
• LCM of 108, 395, 841, 292

1. What is the LCM of 490, 759, 364, 269?

Answer: LCM of 490, 759, 364, 269 is 2601138540.

2. How to calculate the LCM of 490, 759, 364, 269?

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 490, 759, 364, 269.

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}.