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LCM of 671, 762, 138, 612, 294

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


Find the LCM of 671, 762, 138, 612, 294 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 671, 762, 138, 612, 294. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 671,762,138,612,294

Given numbers are 671,762,138,612,294

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

The LCM of 671,762,138,612,294 is 58776210108.

Find LCM of 671,762,138,612,294 with Prime Factorization


2 671, 762, 138, 612, 294
3 671, 381, 69, 306, 147
671, 127, 23, 102, 49

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

2 x 3 x 671 x 127 x 23 x 102 x 49 = 58776210108

Therefore, the lowest common multiple of 671,762,138,612,294 is 58776210108.

LCM Formula to Find Lowest Common Multiple of 671,762,138,612,294

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.

671 x 762 x 138 x 612 x 294 = 12695661383328

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.

671 : 1, 11, 61, 671

762 : 1, 2, 3, 6, 127, 254, 381, 762

138 : 1, 2, 3, 6, 23, 46, 69, 138

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,762,138,612,294, is 1.

Now, the common factors can be found like this.

671:11x 61

762:2x 3x 127

138:2x 3x 23

612:2x 2x 3x 3x 17

294:2x 3x 7x 7

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 = 12695661383328/(1x216)

LCM = 12695661383328/216

LCM = 58776210108

Thus, we can understand that the LCM of 671,762,138,612,294 is 58776210108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 671, 762, 138, 612, 294

1. What is the LCM of 671, 762, 138, 612, 294?

Answer: LCM of 671, 762, 138, 612, 294 is 58776210108.

2. How to calculate the LCM of 671, 762, 138, 612, 294?

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 671, 762, 138, 612, 294.

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}.