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LCM of 669, 703, 418, 959

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


Find the LCM of 669, 703, 418, 959 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 669, 703, 418, 959. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,703,418,959

Given numbers are 669,703,418,959

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

The LCM of 669,703,418,959 is 9922537086.

Find LCM of 669,703,418,959 with Prime Factorization


19 669, 703, 418, 959
669, 37, 22, 959

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

19 x 669 x 37 x 22 x 959 = 9922537086

Therefore, the lowest common multiple of 669,703,418,959 is 9922537086.

LCM Formula to Find Lowest Common Multiple of 669,703,418,959

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.

669 x 703 x 418 x 959 = 188528204634

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.

669 : 1, 3, 223, 669

703 : 1, 19, 37, 703

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

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,703,418,959, is 1.

Now, the common factors can be found like this.

669:3x 223

703:19x 37

418:2x 11x 19

959:7x 137

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

19 = 19

Therefore, the value for common factors is 19.

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 = 188528204634/(1x19)

LCM = 188528204634/19

LCM = 9922537086

Thus, we can understand that the LCM of 669,703,418,959 is 9922537086.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 669, 703, 418, 959

1. What is the LCM of 669, 703, 418, 959?

Answer: LCM of 669, 703, 418, 959 is 9922537086.

2. How to calculate the LCM of 669, 703, 418, 959?

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 669, 703, 418, 959.

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}.