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LCM of 969, 459, 119

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


Find the LCM of 969, 459, 119 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, 459, 119. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 969,459,119

Given numbers are 969,459,119

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

The LCM of 969,459,119 is 61047.

Find LCM of 969,459,119 with Prime Factorization


3 969, 459, 119
17 323, 153, 119
19, 9, 7

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

3 x 17 x 19 x 9 x 7 = 61047

Therefore, the lowest common multiple of 969,459,119 is 61047.

LCM Formula to Find Lowest Common Multiple of 969,459,119

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 459 x 119 = 52927749

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

459 : 1, 3, 9, 17, 27, 51, 153, 459

119 : 1, 7, 17, 119

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,459,119, is 17.

Now, the common factors can be found like this.

969:3x 17x 19

459:3x 3x 3x 17

119:7x 17

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 52927749/(17x51)

LCM = 52927749/867

LCM = 61047

Thus, we can understand that the LCM of 969,459,119 is 61047.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 969, 459, 119

1. What is the LCM of 969, 459, 119?

Answer: LCM of 969, 459, 119 is 61047.

2. How to calculate the LCM of 969, 459, 119?

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, 459, 119.

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}.