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LCM of 746, 341, 737, 836, 495

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


Find the LCM of 746, 341, 737, 836, 495 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 746, 341, 737, 836, 495. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 746,341,737,836,495

Given numbers are 746,341,737,836,495

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

The LCM of 746,341,737,836,495 is 29145004020.

Find LCM of 746,341,737,836,495 with Prime Factorization


2 746, 341, 737, 836, 495
11 373, 341, 737, 418, 495
373, 31, 67, 38, 45

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

2 x 11 x 373 x 31 x 67 x 38 x 45 = 29145004020

Therefore, the lowest common multiple of 746,341,737,836,495 is 29145004020.

LCM Formula to Find Lowest Common Multiple of 746,341,737,836,495

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.

746 x 341 x 737 x 836 x 495 = 77584000701240

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.

746 : 1, 2, 373, 746

341 : 1, 11, 31, 341

737 : 1, 11, 67, 737

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,341,737,836,495, is 1.

Now, the common factors can be found like this.

746:2x 373

341:11x 31

737:11x 67

836:2x 2x 11x 19

495:3x 3x 5x 11

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

2x 11x 11x 11 = 2662

Therefore, the value for common factors is 2662.

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 = 77584000701240/(1x2662)

LCM = 77584000701240/2662

LCM = 29145004020

Thus, we can understand that the LCM of 746,341,737,836,495 is 29145004020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 746, 341, 737, 836, 495

1. What is the LCM of 746, 341, 737, 836, 495?

Answer: LCM of 746, 341, 737, 836, 495 is 29145004020.

2. How to calculate the LCM of 746, 341, 737, 836, 495?

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 746, 341, 737, 836, 495.

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}.