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LCM of 134, 496, 341, 860

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


Find the LCM of 134, 496, 341, 860 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 134, 496, 341, 860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 134,496,341,860

Given numbers are 134,496,341,860

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

The LCM of 134,496,341,860 is 78593680.

Find LCM of 134,496,341,860 with Prime Factorization


2 134, 496, 341, 860
2 67, 248, 341, 430
31 67, 124, 341, 215
67, 4, 11, 215

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

2 x 2 x 31 x 67 x 4 x 11 x 215 = 78593680

Therefore, the lowest common multiple of 134,496,341,860 is 78593680.

LCM Formula to Find Lowest Common Multiple of 134,496,341,860

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.

134 x 496 x 341 x 860 = 19491232640

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.

134 : 1, 2, 67, 134

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

341 : 1, 11, 31, 341

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,496,341,860, is 1.

Now, the common factors can be found like this.

134:2x 67

496:2x 2x 2x 2x 31

341:11x 31

860:2x 2x 5x 43

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 31 = 248

Therefore, the value for common factors is 248.

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 = 19491232640/(1x248)

LCM = 19491232640/248

LCM = 78593680

Thus, we can understand that the LCM of 134,496,341,860 is 78593680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 134, 496, 341, 860

1. What is the LCM of 134, 496, 341, 860?

Answer: LCM of 134, 496, 341, 860 is 78593680.

2. How to calculate the LCM of 134, 496, 341, 860?

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 134, 496, 341, 860.

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}.