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LCM of 919, 323, 493, 134

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


Find the LCM of 919, 323, 493, 134 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 919, 323, 493, 134. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 919,323,493,134

Given numbers are 919,323,493,134

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

The LCM of 919,323,493,134 is 1153508582.

Find LCM of 919,323,493,134 with Prime Factorization


17 919, 323, 493, 134
919, 19, 29, 134

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

17 x 919 x 19 x 29 x 134 = 1153508582

Therefore, the lowest common multiple of 919,323,493,134 is 1153508582.

LCM Formula to Find Lowest Common Multiple of 919,323,493,134

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.

919 x 323 x 493 x 134 = 19609645894

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.

919 : 1, 919

323 : 1, 17, 19, 323

493 : 1, 17, 29, 493

134 : 1, 2, 67, 134

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,323,493,134, is 1.

Now, the common factors can be found like this.

919:919

323:17x 19

493:17x 29

134:2x 67

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

17 = 17

Therefore, the value for common factors is 17.

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 = 19609645894/(1x17)

LCM = 19609645894/17

LCM = 1153508582

Thus, we can understand that the LCM of 919,323,493,134 is 1153508582.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 919, 323, 493, 134

1. What is the LCM of 919, 323, 493, 134?

Answer: LCM of 919, 323, 493, 134 is 1153508582.

2. How to calculate the LCM of 919, 323, 493, 134?

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 919, 323, 493, 134.

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}.