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LCM of 276, 391, 830, 377

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


Find the LCM of 276, 391, 830, 377 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 276, 391, 830, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,391,830,377

Given numbers are 276,391,830,377

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

The LCM of 276,391,830,377 is 734086860.

Find LCM of 276,391,830,377 with Prime Factorization


2 276, 391, 830, 377
23 138, 391, 415, 377
6, 17, 415, 377

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

2 x 23 x 6 x 17 x 415 x 377 = 734086860

Therefore, the lowest common multiple of 276,391,830,377 is 734086860.

LCM Formula to Find Lowest Common Multiple of 276,391,830,377

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.

276 x 391 x 830 x 377 = 33767995560

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

391 : 1, 17, 23, 391

830 : 1, 2, 5, 10, 83, 166, 415, 830

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,391,830,377, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

391:17x 23

830:2x 5x 83

377:13x 29

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 33767995560/(1x46)

LCM = 33767995560/46

LCM = 734086860

Thus, we can understand that the LCM of 276,391,830,377 is 734086860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 276, 391, 830, 377

1. What is the LCM of 276, 391, 830, 377?

Answer: LCM of 276, 391, 830, 377 is 734086860.

2. How to calculate the LCM of 276, 391, 830, 377?

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 276, 391, 830, 377.

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}.