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LCM of 974, 969, 381

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


Find the LCM of 974, 969, 381 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 974, 969, 381. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 974,969,381

Given numbers are 974,969,381

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

The LCM of 974,969,381 is 119863362.

Find LCM of 974,969,381 with Prime Factorization


3 974, 969, 381
974, 323, 127

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

3 x 974 x 323 x 127 = 119863362

Therefore, the lowest common multiple of 974,969,381 is 119863362.

LCM Formula to Find Lowest Common Multiple of 974,969,381

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.

974 x 969 x 381 = 359590086

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.

974 : 1, 2, 487, 974

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

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,969,381, is 1.

Now, the common factors can be found like this.

974:2x 487

969:3x 17x 19

381:3x 127

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

3 = 3

Therefore, the value for common factors is 3.

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 = 359590086/(1x3)

LCM = 359590086/3

LCM = 119863362

Thus, we can understand that the LCM of 974,969,381 is 119863362.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 974, 969, 381

1. What is the LCM of 974, 969, 381?

Answer: LCM of 974, 969, 381 is 119863362.

2. How to calculate the LCM of 974, 969, 381?

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 974, 969, 381.

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}.