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LCM of 741, 247, 322, 135

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


Find the LCM of 741, 247, 322, 135 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 741, 247, 322, 135. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,247,322,135

Given numbers are 741,247,322,135

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

The LCM of 741,247,322,135 is 10737090.

Find LCM of 741,247,322,135 with Prime Factorization


3 741, 247, 322, 135
13 247, 247, 322, 45
19 19, 19, 322, 45
1, 1, 322, 45

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

3 x 13 x 19 x 1 x 1 x 322 x 45 = 10737090

Therefore, the lowest common multiple of 741,247,322,135 is 10737090.

LCM Formula to Find Lowest Common Multiple of 741,247,322,135

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.

741 x 247 x 322 x 135 = 7956183690

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.

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

247 : 1, 13, 19, 247

322 : 1, 2, 7, 14, 23, 46, 161, 322

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,247,322,135, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

247:13x 19

322:2x 7x 23

135:3x 3x 3x 5

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

3x 13x 19 = 741

Therefore, the value for common factors is 741.

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 = 7956183690/(1x741)

LCM = 7956183690/741

LCM = 10737090

Thus, we can understand that the LCM of 741,247,322,135 is 10737090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 247, 322, 135

1. What is the LCM of 741, 247, 322, 135?

Answer: LCM of 741, 247, 322, 135 is 10737090.

2. How to calculate the LCM of 741, 247, 322, 135?

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 741, 247, 322, 135.

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}.