Given numbers are 513,770,276,492,894

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

The LCM of 513,770,276,492,894 is 111003340140.

Find LCM of 513,770,276,492,894 with Prime Factorization

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

2 x 2 x 3 x 171 x 385 x 23 x 41 x 149 = 111003340140

Therefore, the lowest common multiple of 513,770,276,492,894 is 111003340140.

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.

513 x 770 x 276 x 492 x 894 = 47953442940480

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,770,276,492,894, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

770:2x 5x 7x 11

276:2x 2x 3x 23

492:2x 2x 3x 41

894:2x 3x 149

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 47953442940480/(1x432)

LCM = 47953442940480/432

LCM = 111003340140

Thus, we can understand that the LCM of 513,770,276,492,894 is 111003340140.

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

• LCM of 680, 219, 990, 542, 373
• LCM of 710, 895, 970, 786, 653
• LCM of 122, 182, 609, 296, 630
• LCM of 928, 880, 492, 405, 636
• LCM of 157, 445, 524, 397, 110

1. What is the LCM of 513, 770, 276, 492, 894?

Answer: LCM of 513, 770, 276, 492, 894 is 111003340140.

2. How to calculate the LCM of 513, 770, 276, 492, 894?

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 513, 770, 276, 492, 894.

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}.