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LCM of 963, 838, 252, 254

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


Find the LCM of 963, 838, 252, 254 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 963, 838, 252, 254. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 963,838,252,254

Given numbers are 963,838,252,254

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

The LCM of 963,838,252,254 is 1434835332.

Find LCM of 963,838,252,254 with Prime Factorization


2 963, 838, 252, 254
3 963, 419, 126, 127
3 321, 419, 42, 127
107, 419, 14, 127

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

2 x 3 x 3 x 107 x 419 x 14 x 127 = 1434835332

Therefore, the lowest common multiple of 963,838,252,254 is 1434835332.

LCM Formula to Find Lowest Common Multiple of 963,838,252,254

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.

963 x 838 x 252 x 254 = 51654071952

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.

963 : 1, 3, 9, 107, 321, 963

838 : 1, 2, 419, 838

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

254 : 1, 2, 127, 254

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,838,252,254, is 1.

Now, the common factors can be found like this.

963:3x 3x 107

838:2x 419

252:2x 2x 3x 3x 7

254:2x 127

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 3 = 36

Therefore, the value for common factors is 36.

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 = 51654071952/(1x36)

LCM = 51654071952/36

LCM = 1434835332

Thus, we can understand that the LCM of 963,838,252,254 is 1434835332.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 963, 838, 252, 254

1. What is the LCM of 963, 838, 252, 254?

Answer: LCM of 963, 838, 252, 254 is 1434835332.

2. How to calculate the LCM of 963, 838, 252, 254?

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 963, 838, 252, 254.

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}.