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LCM of 694, 746, 746, 496

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


Find the LCM of 694, 746, 746, 496 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 694, 746, 746, 496. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 694,746,746,496

Given numbers are 694,746,746,496

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

The LCM of 694,746,746,496 is 64197776.

Find LCM of 694,746,746,496 with Prime Factorization


2 694, 746, 746, 496
373 347, 373, 373, 248
347, 1, 1, 248

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

2 x 373 x 347 x 1 x 1 x 248 = 64197776

Therefore, the lowest common multiple of 694,746,746,496 is 64197776.

LCM Formula to Find Lowest Common Multiple of 694,746,746,496

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.

694 x 746 x 746 x 496 = 191566163584

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.

694 : 1, 2, 347, 694

746 : 1, 2, 373, 746

746 : 1, 2, 373, 746

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,746,746,496, is 2.

Now, the common factors can be found like this.

694:2x 347

746:2x 373

746:2x 373

496:2x 2x 2x 2x 31

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 373 = 1492

Therefore, the value for common factors is 1492.

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 = 191566163584/(2x1492)

LCM = 191566163584/2984

LCM = 64197776

Thus, we can understand that the LCM of 694,746,746,496 is 64197776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 694, 746, 746, 496

1. What is the LCM of 694, 746, 746, 496?

Answer: LCM of 694, 746, 746, 496 is 64197776.

2. How to calculate the LCM of 694, 746, 746, 496?

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 694, 746, 746, 496.

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}.