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LCM of 452, 836, 969, 387

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


Find the LCM of 452, 836, 969, 387 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 452, 836, 969, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 452,836,969,387

Given numbers are 452,836,969,387

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

The LCM of 452,836,969,387 is 621504972.

Find LCM of 452,836,969,387 with Prime Factorization


2 452, 836, 969, 387
2 226, 418, 969, 387
3 113, 209, 969, 387
19 113, 209, 323, 129
113, 11, 17, 129

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

2 x 2 x 3 x 19 x 113 x 11 x 17 x 129 = 621504972

Therefore, the lowest common multiple of 452,836,969,387 is 621504972.

LCM Formula to Find Lowest Common Multiple of 452,836,969,387

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.

452 x 836 x 969 x 387 = 141703133616

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.

452 : 1, 2, 4, 113, 226, 452

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

969 : 1, 3, 17, 19, 51, 57, 323, 969

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,836,969,387, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

836:2x 2x 11x 19

969:3x 17x 19

387:3x 3x 43

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

2x 2x 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 141703133616/(1x228)

LCM = 141703133616/228

LCM = 621504972

Thus, we can understand that the LCM of 452,836,969,387 is 621504972.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 452, 836, 969, 387

1. What is the LCM of 452, 836, 969, 387?

Answer: LCM of 452, 836, 969, 387 is 621504972.

2. How to calculate the LCM of 452, 836, 969, 387?

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 452, 836, 969, 387.

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}.