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LCM of 488, 398, 746, 354

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


Find the LCM of 488, 398, 746, 354 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 488, 398, 746, 354. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 488,398,746,354

Given numbers are 488,398,746,354

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

The LCM of 488,398,746,354 is 6411431352.

Find LCM of 488,398,746,354 with Prime Factorization


2 488, 398, 746, 354
244, 199, 373, 177

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

2 x 244 x 199 x 373 x 177 = 6411431352

Therefore, the lowest common multiple of 488,398,746,354 is 6411431352.

LCM Formula to Find Lowest Common Multiple of 488,398,746,354

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.

488 x 398 x 746 x 354 = 51291450816

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

398 : 1, 2, 199, 398

746 : 1, 2, 373, 746

354 : 1, 2, 3, 6, 59, 118, 177, 354

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,398,746,354, is 2.

Now, the common factors can be found like this.

488:2x 2x 2x 61

398:2x 199

746:2x 373

354:2x 3x 59

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 51291450816/(2x4)

LCM = 51291450816/8

LCM = 6411431352

Thus, we can understand that the LCM of 488,398,746,354 is 6411431352.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 488, 398, 746, 354

1. What is the LCM of 488, 398, 746, 354?

Answer: LCM of 488, 398, 746, 354 is 6411431352.

2. How to calculate the LCM of 488, 398, 746, 354?

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 488, 398, 746, 354.

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}.