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LCM of 418, 725, 725, 969, 141

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


Find the LCM of 418, 725, 725, 969, 141 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, 725, 725, 969, 141. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,725,725,969,141

Given numbers are 418,725,725,969,141

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

The LCM of 418,725,725,969,141 is 726410850.

Find LCM of 418,725,725,969,141 with Prime Factorization


3 418, 725, 725, 969, 141
5 418, 725, 725, 323, 47
5 418, 145, 145, 323, 47
19 418, 29, 29, 323, 47
29 22, 29, 29, 17, 47
22, 1, 1, 17, 47

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

3 x 5 x 5 x 19 x 29 x 22 x 1 x 1 x 17 x 47 = 726410850

Therefore, the lowest common multiple of 418,725,725,969,141 is 726410850.

LCM Formula to Find Lowest Common Multiple of 418,725,725,969,141

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 725 x 725 x 969 x 141 = 30018928376250

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

725 : 1, 5, 25, 29, 145, 725

725 : 1, 5, 25, 29, 145, 725

969 : 1, 3, 17, 19, 51, 57, 323, 969

141 : 1, 3, 47, 141

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,725,725,969,141, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

725:5x 5x 29

725:5x 5x 29

969:3x 17x 19

141:3x 47

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

3x 5x 5x 19x 29 = 41325

Therefore, the value for common factors is 41325.

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 = 30018928376250/(1x41325)

LCM = 30018928376250/41325

LCM = 726410850

Thus, we can understand that the LCM of 418,725,725,969,141 is 726410850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 725, 725, 969, 141

1. What is the LCM of 418, 725, 725, 969, 141?

Answer: LCM of 418, 725, 725, 969, 141 is 726410850.

2. How to calculate the LCM of 418, 725, 725, 969, 141?

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, 725, 725, 969, 141.

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}.