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LCM of 484, 346, 235, 919, 758

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


Find the LCM of 484, 346, 235, 919, 758 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 484, 346, 235, 919, 758. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,346,235,919,758

Given numbers are 484,346,235,919,758

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

The LCM of 484,346,235,919,758 is 6853525743020.

Find LCM of 484,346,235,919,758 with Prime Factorization


2 484, 346, 235, 919, 758
242, 173, 235, 919, 379

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

2 x 242 x 173 x 235 x 919 x 379 = 6853525743020

Therefore, the lowest common multiple of 484,346,235,919,758 is 6853525743020.

LCM Formula to Find Lowest Common Multiple of 484,346,235,919,758

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.

484 x 346 x 235 x 919 x 758 = 27414102972080

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

346 : 1, 2, 173, 346

235 : 1, 5, 47, 235

919 : 1, 919

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,346,235,919,758, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

346:2x 173

235:5x 47

919:919

758:2x 379

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 27414102972080/(1x4)

LCM = 27414102972080/4

LCM = 6853525743020

Thus, we can understand that the LCM of 484,346,235,919,758 is 6853525743020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 346, 235, 919, 758

1. What is the LCM of 484, 346, 235, 919, 758?

Answer: LCM of 484, 346, 235, 919, 758 is 6853525743020.

2. How to calculate the LCM of 484, 346, 235, 919, 758?

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 484, 346, 235, 919, 758.

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}.