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LCM of 753, 982, 492, 199, 474

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


Find the LCM of 753, 982, 492, 199, 474 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 753, 982, 492, 199, 474. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 753,982,492,199,474

Given numbers are 753,982,492,199,474

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

The LCM of 753,982,492,199,474 is 953236106412.

Find LCM of 753,982,492,199,474 with Prime Factorization


2 753, 982, 492, 199, 474
3 753, 491, 246, 199, 237
251, 491, 82, 199, 79

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

2 x 3 x 251 x 491 x 82 x 199 x 79 = 953236106412

Therefore, the lowest common multiple of 753,982,492,199,474 is 953236106412.

LCM Formula to Find Lowest Common Multiple of 753,982,492,199,474

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.

753 x 982 x 492 x 199 x 474 = 34316499830832

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.

753 : 1, 3, 251, 753

982 : 1, 2, 491, 982

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

199 : 1, 199

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,982,492,199,474, is 1.

Now, the common factors can be found like this.

753:3x 251

982:2x 491

492:2x 2x 3x 41

199:199

474:2x 3x 79

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 34316499830832/(1x36)

LCM = 34316499830832/36

LCM = 953236106412

Thus, we can understand that the LCM of 753,982,492,199,474 is 953236106412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 753, 982, 492, 199, 474

1. What is the LCM of 753, 982, 492, 199, 474?

Answer: LCM of 753, 982, 492, 199, 474 is 953236106412.

2. How to calculate the LCM of 753, 982, 492, 199, 474?

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 753, 982, 492, 199, 474.

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}.