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LCM of 767, 397, 208, 702

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


Find the LCM of 767, 397, 208, 702 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 767, 397, 208, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,397,208,702

Given numbers are 767,397,208,702

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

The LCM of 767,397,208,702 is 131543568.

Find LCM of 767,397,208,702 with Prime Factorization


2 767, 397, 208, 702
13 767, 397, 104, 351
59, 397, 8, 27

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

2 x 13 x 59 x 397 x 8 x 27 = 131543568

Therefore, the lowest common multiple of 767,397,208,702 is 131543568.

LCM Formula to Find Lowest Common Multiple of 767,397,208,702

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.

767 x 397 x 208 x 702 = 44461725984

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.

767 : 1, 13, 59, 767

397 : 1, 397

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,397,208,702, is 1.

Now, the common factors can be found like this.

767:13x 59

397:397

208:2x 2x 2x 2x 13

702:2x 3x 3x 3x 13

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 44461725984/(1x338)

LCM = 44461725984/338

LCM = 131543568

Thus, we can understand that the LCM of 767,397,208,702 is 131543568.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 397, 208, 702

1. What is the LCM of 767, 397, 208, 702?

Answer: LCM of 767, 397, 208, 702 is 131543568.

2. How to calculate the LCM of 767, 397, 208, 702?

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 767, 397, 208, 702.

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}.