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LCM of 269, 975, 407, 77

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


Find the LCM of 269, 975, 407, 77 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 269, 975, 407, 77. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 269,975,407,77

Given numbers are 269,975,407,77

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

The LCM of 269,975,407,77 is 747221475.

Find LCM of 269,975,407,77 with Prime Factorization


11 269, 975, 407, 77
269, 975, 37, 7

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

11 x 269 x 975 x 37 x 7 = 747221475

Therefore, the lowest common multiple of 269,975,407,77 is 747221475.

LCM Formula to Find Lowest Common Multiple of 269,975,407,77

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.

269 x 975 x 407 x 77 = 8219436225

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.

269 : 1, 269

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

407 : 1, 11, 37, 407

77 : 1, 7, 11, 77

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,975,407,77, is 1.

Now, the common factors can be found like this.

269:269

975:3x 5x 5x 13

407:11x 37

77:7x 11

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

11 = 11

Therefore, the value for common factors is 11.

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 = 8219436225/(1x11)

LCM = 8219436225/11

LCM = 747221475

Thus, we can understand that the LCM of 269,975,407,77 is 747221475.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 269, 975, 407, 77

1. What is the LCM of 269, 975, 407, 77?

Answer: LCM of 269, 975, 407, 77 is 747221475.

2. How to calculate the LCM of 269, 975, 407, 77?

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 269, 975, 407, 77.

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}.