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LCM of 969, 241, 385, 374

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


Find the LCM of 969, 241, 385, 374 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 969, 241, 385, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 969,241,385,374

Given numbers are 969,241,385,374

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

The LCM of 969,241,385,374 is 179817330.

Find LCM of 969,241,385,374 with Prime Factorization


11 969, 241, 385, 374
17 969, 241, 35, 34
57, 241, 35, 2

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

11 x 17 x 57 x 241 x 35 x 2 = 179817330

Therefore, the lowest common multiple of 969,241,385,374 is 179817330.

LCM Formula to Find Lowest Common Multiple of 969,241,385,374

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.

969 x 241 x 385 x 374 = 33625840710

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.

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

241 : 1, 241

385 : 1, 5, 7, 11, 35, 55, 77, 385

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,241,385,374, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

241:241

385:5x 7x 11

374:2x 11x 17

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

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 33625840710/(1x187)

LCM = 33625840710/187

LCM = 179817330

Thus, we can understand that the LCM of 969,241,385,374 is 179817330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 969, 241, 385, 374

1. What is the LCM of 969, 241, 385, 374?

Answer: LCM of 969, 241, 385, 374 is 179817330.

2. How to calculate the LCM of 969, 241, 385, 374?

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 969, 241, 385, 374.

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}.