Given numbers are 253,219,318,269

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

The LCM of 253,219,318,269 is 1579875198.

Find LCM of 253,219,318,269 with Prime Factorization

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

3 x 253 x 73 x 106 x 269 = 1579875198

Therefore, the lowest common multiple of 253,219,318,269 is 1579875198.

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.

253 x 219 x 318 x 269 = 4739625594

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.

253 : 1, 11, 23, 253

219 : 1, 3, 73, 219

318 : 1, 2, 3, 6, 53, 106, 159, 318

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,219,318,269, is 1.

Now, the common factors can be found like this.

253:11x 23

219:3x 73

318:2x 3x 53

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 4739625594/(1x3)

LCM = 4739625594/3

LCM = 1579875198

Thus, we can understand that the LCM of 253,219,318,269 is 1579875198.

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

• LCM of 587, 809, 621, 926
• LCM of 397, 756, 534, 964
• LCM of 754, 164, 139, 770
• LCM of 438, 885, 636, 450
• LCM of 936, 416, 500, 176

1. What is the LCM of 253, 219, 318, 269?

Answer: LCM of 253, 219, 318, 269 is 1579875198.

2. How to calculate the LCM of 253, 219, 318, 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 253, 219, 318, 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}.