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LCM of 418, 726, 761, 494, 770

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 418, 726, 761, 494, 770 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 418, 726, 761, 494, 770. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,726,761,494,770

Given numbers are 418,726,761,494,770

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

The LCM of 418,726,761,494,770 is 4776241470.

Find LCM of 418,726,761,494,770 with Prime Factorization


2 418, 726, 761, 494, 770
11 209, 363, 761, 247, 385
19 19, 33, 761, 247, 35
1, 33, 761, 13, 35

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

2 x 11 x 19 x 1 x 33 x 761 x 13 x 35 = 4776241470

Therefore, the lowest common multiple of 418,726,761,494,770 is 4776241470.

LCM Formula to Find Lowest Common Multiple of 418,726,761,494,770

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.

418 x 726 x 761 x 494 x 770 = 87844633116240

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

761 : 1, 761

494 : 1, 2, 13, 19, 26, 38, 247, 494

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,726,761,494,770, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

726:2x 3x 11x 11

761:761

494:2x 13x 19

770:2x 5x 7x 11

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 11x 11x 19 = 18392

Therefore, the value for common factors is 18392.

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 = 87844633116240/(1x18392)

LCM = 87844633116240/18392

LCM = 4776241470

Thus, we can understand that the LCM of 418,726,761,494,770 is 4776241470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 726, 761, 494, 770

1. What is the LCM of 418, 726, 761, 494, 770?

Answer: LCM of 418, 726, 761, 494, 770 is 4776241470.

2. How to calculate the LCM of 418, 726, 761, 494, 770?

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 418, 726, 761, 494, 770.

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}.