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LCM of 757, 958, 958, 421

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


Find the LCM of 757, 958, 958, 421 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 757, 958, 958, 421. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,958,958,421

Given numbers are 757,958,958,421

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

The LCM of 757,958,958,421 is 305311726.

Find LCM of 757,958,958,421 with Prime Factorization


2 757, 958, 958, 421
479 757, 479, 479, 421
757, 1, 1, 421

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

2 x 479 x 757 x 1 x 1 x 421 = 305311726

Therefore, the lowest common multiple of 757,958,958,421 is 305311726.

LCM Formula to Find Lowest Common Multiple of 757,958,958,421

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.

757 x 958 x 958 x 421 = 292488633508

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.

757 : 1, 757

958 : 1, 2, 479, 958

958 : 1, 2, 479, 958

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,958,958,421, is 1.

Now, the common factors can be found like this.

757:757

958:2x 479

958:2x 479

421:421

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

2x 479 = 958

Therefore, the value for common factors is 958.

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 = 292488633508/(1x958)

LCM = 292488633508/958

LCM = 305311726

Thus, we can understand that the LCM of 757,958,958,421 is 305311726.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 958, 958, 421

1. What is the LCM of 757, 958, 958, 421?

Answer: LCM of 757, 958, 958, 421 is 305311726.

2. How to calculate the LCM of 757, 958, 958, 421?

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 757, 958, 958, 421.

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}.