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LCM of 761, 598, 598, 366

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


Find the LCM of 761, 598, 598, 366 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 761, 598, 598, 366. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 761,598,598,366

Given numbers are 761,598,598,366

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

The LCM of 761,598,598,366 is 83279274.

Find LCM of 761,598,598,366 with Prime Factorization


2 761, 598, 598, 366
13 761, 299, 299, 183
23 761, 23, 23, 183
761, 1, 1, 183

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

2 x 13 x 23 x 761 x 1 x 1 x 183 = 83279274

Therefore, the lowest common multiple of 761,598,598,366 is 83279274.

LCM Formula to Find Lowest Common Multiple of 761,598,598,366

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.

761 x 598 x 598 x 366 = 99602011704

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.

761 : 1, 761

598 : 1, 2, 13, 23, 26, 46, 299, 598

598 : 1, 2, 13, 23, 26, 46, 299, 598

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,598,598,366, is 1.

Now, the common factors can be found like this.

761:761

598:2x 13x 23

598:2x 13x 23

366:2x 3x 61

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 13x 23 = 1196

Therefore, the value for common factors is 1196.

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 = 99602011704/(1x1196)

LCM = 99602011704/1196

LCM = 83279274

Thus, we can understand that the LCM of 761,598,598,366 is 83279274.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 761, 598, 598, 366

1. What is the LCM of 761, 598, 598, 366?

Answer: LCM of 761, 598, 598, 366 is 83279274.

2. How to calculate the LCM of 761, 598, 598, 366?

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 761, 598, 598, 366.

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}.