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LCM of 708, 397, 597, 828, 618

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


Find the LCM of 708, 397, 597, 828, 618 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 708, 397, 597, 828, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,397,597,828,618

Given numbers are 708,397,597,828,618

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

The LCM of 708,397,597,828,618 is 397523819268.

Find LCM of 708,397,597,828,618 with Prime Factorization


2 708, 397, 597, 828, 618
2 354, 397, 597, 414, 309
3 177, 397, 597, 207, 309
59, 397, 199, 69, 103

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

2 x 2 x 3 x 59 x 397 x 199 x 69 x 103 = 397523819268

Therefore, the lowest common multiple of 708,397,597,828,618 is 397523819268.

LCM Formula to Find Lowest Common Multiple of 708,397,597,828,618

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.

708 x 397 x 597 x 828 x 618 = 85865144961888

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

397 : 1, 397

597 : 1, 3, 199, 597

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,397,597,828,618, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

397:397

597:3x 199

828:2x 2x 3x 3x 23

618:2x 3x 103

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 85865144961888/(1x216)

LCM = 85865144961888/216

LCM = 397523819268

Thus, we can understand that the LCM of 708,397,597,828,618 is 397523819268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 708, 397, 597, 828, 618

1. What is the LCM of 708, 397, 597, 828, 618?

Answer: LCM of 708, 397, 597, 828, 618 is 397523819268.

2. How to calculate the LCM of 708, 397, 597, 828, 618?

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 708, 397, 597, 828, 618.

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}.