Given numbers are 371,357,269,392

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

The LCM of 371,357,269,392 is 285025944.

Find LCM of 371,357,269,392 with Prime Factorization

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

7 x 53 x 51 x 269 x 56 = 285025944

Therefore, the lowest common multiple of 371,357,269,392 is 285025944.

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.

371 x 357 x 269 x 392 = 13966271256

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.

371 : 1, 7, 53, 371

357 : 1, 3, 7, 17, 21, 51, 119, 357

269 : 1, 269

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,357,269,392, is 1.

Now, the common factors can be found like this.

371:7x 53

357:3x 7x 17

269:269

392:2x 2x 2x 7x 7

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 13966271256/(1x49)

LCM = 13966271256/49

LCM = 285025944

Thus, we can understand that the LCM of 371,357,269,392 is 285025944.

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

• LCM of 533, 801, 435, 170
• LCM of 263, 387, 321, 329
• LCM of 646, 739, 427, 457
• LCM of 313, 157, 262, 394
• LCM of 861, 525, 516, 714

1. What is the LCM of 371, 357, 269, 392?

Answer: LCM of 371, 357, 269, 392 is 285025944.

2. How to calculate the LCM of 371, 357, 269, 392?

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 371, 357, 269, 392.

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}.