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LCM of 769, 916, 341, 458

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


Find the LCM of 769, 916, 341, 458 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 769, 916, 341, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,916,341,458

Given numbers are 769,916,341,458

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

The LCM of 769,916,341,458 is 240201764.

Find LCM of 769,916,341,458 with Prime Factorization


2 769, 916, 341, 458
229 769, 458, 341, 229
769, 2, 341, 1

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

2 x 229 x 769 x 2 x 341 x 1 = 240201764

Therefore, the lowest common multiple of 769,916,341,458 is 240201764.

LCM Formula to Find Lowest Common Multiple of 769,916,341,458

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.

769 x 916 x 341 x 458 = 110012407912

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.

769 : 1, 769

916 : 1, 2, 4, 229, 458, 916

341 : 1, 11, 31, 341

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,916,341,458, is 1.

Now, the common factors can be found like this.

769:769

916:2x 2x 229

341:11x 31

458:2x 229

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

2x 229 = 458

Therefore, the value for common factors is 458.

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 = 110012407912/(1x458)

LCM = 110012407912/458

LCM = 240201764

Thus, we can understand that the LCM of 769,916,341,458 is 240201764.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 916, 341, 458

1. What is the LCM of 769, 916, 341, 458?

Answer: LCM of 769, 916, 341, 458 is 240201764.

2. How to calculate the LCM of 769, 916, 341, 458?

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 769, 916, 341, 458.

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}.