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LCM of 402, 952, 134, 598, 689

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


Find the LCM of 402, 952, 134, 598, 689 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 402, 952, 134, 598, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 402,952,134,598,689

Given numbers are 402,952,134,598,689

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

The LCM of 402,952,134,598,689 is 3032355144.

Find LCM of 402,952,134,598,689 with Prime Factorization


2 402, 952, 134, 598, 689
13 201, 476, 67, 299, 689
67 201, 476, 67, 23, 53
3, 476, 1, 23, 53

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

2 x 13 x 67 x 3 x 476 x 1 x 23 x 53 = 3032355144

Therefore, the lowest common multiple of 402,952,134,598,689 is 3032355144.

LCM Formula to Find Lowest Common Multiple of 402,952,134,598,689

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.

402 x 952 x 134 x 598 x 689 = 21129450643392

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

134 : 1, 2, 67, 134

598 : 1, 2, 13, 23, 26, 46, 299, 598

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,952,134,598,689, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

952:2x 2x 2x 7x 17

134:2x 67

598:2x 13x 23

689:13x 53

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 13x 67 = 6968

Therefore, the value for common factors is 6968.

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 = 21129450643392/(1x6968)

LCM = 21129450643392/6968

LCM = 3032355144

Thus, we can understand that the LCM of 402,952,134,598,689 is 3032355144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 402, 952, 134, 598, 689

1. What is the LCM of 402, 952, 134, 598, 689?

Answer: LCM of 402, 952, 134, 598, 689 is 3032355144.

2. How to calculate the LCM of 402, 952, 134, 598, 689?

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 402, 952, 134, 598, 689.

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}.