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LCM of 719, 741, 719, 946

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


Find the LCM of 719, 741, 719, 946 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 719, 741, 719, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,741,719,946

Given numbers are 719,741,719,946

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

The LCM of 719,741,719,946 is 504008934.

Find LCM of 719,741,719,946 with Prime Factorization


719 719, 741, 719, 946
1, 741, 1, 946

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

719 x 1 x 741 x 1 x 946 = 504008934

Therefore, the lowest common multiple of 719,741,719,946 is 504008934.

LCM Formula to Find Lowest Common Multiple of 719,741,719,946

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.

719 x 741 x 719 x 946 = 362382423546

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.

719 : 1, 719

741 : 1, 3, 13, 19, 39, 57, 247, 741

719 : 1, 719

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,741,719,946, is 1.

Now, the common factors can be found like this.

719:719

741:3x 13x 19

719:719

946:2x 11x 43

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

719 = 719

Therefore, the value for common factors is 719.

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 = 362382423546/(1x719)

LCM = 362382423546/719

LCM = 504008934

Thus, we can understand that the LCM of 719,741,719,946 is 504008934.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 741, 719, 946

1. What is the LCM of 719, 741, 719, 946?

Answer: LCM of 719, 741, 719, 946 is 504008934.

2. How to calculate the LCM of 719, 741, 719, 946?

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 719, 741, 719, 946.

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}.