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LCM of 358, 117, 269, 949

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


Find the LCM of 358, 117, 269, 949 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 358, 117, 269, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,117,269,949

Given numbers are 358,117,269,949

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

The LCM of 358,117,269,949 is 822515382.

Find LCM of 358,117,269,949 with Prime Factorization


13 358, 117, 269, 949
358, 9, 269, 73

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

13 x 358 x 9 x 269 x 73 = 822515382

Therefore, the lowest common multiple of 358,117,269,949 is 822515382.

LCM Formula to Find Lowest Common Multiple of 358,117,269,949

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.

358 x 117 x 269 x 949 = 10692699966

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.

358 : 1, 2, 179, 358

117 : 1, 3, 9, 13, 39, 117

269 : 1, 269

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,117,269,949, is 1.

Now, the common factors can be found like this.

358:2x 179

117:3x 3x 13

269:269

949:13x 73

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

13 = 13

Therefore, the value for common factors is 13.

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 = 10692699966/(1x13)

LCM = 10692699966/13

LCM = 822515382

Thus, we can understand that the LCM of 358,117,269,949 is 822515382.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 117, 269, 949

1. What is the LCM of 358, 117, 269, 949?

Answer: LCM of 358, 117, 269, 949 is 822515382.

2. How to calculate the LCM of 358, 117, 269, 949?

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 358, 117, 269, 949.

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}.