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LCM of 353, 754, 237, 158

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


Find the LCM of 353, 754, 237, 158 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 353, 754, 237, 158. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 353,754,237,158

Given numbers are 353,754,237,158

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

The LCM of 353,754,237,158 is 63080394.

Find LCM of 353,754,237,158 with Prime Factorization


2 353, 754, 237, 158
79 353, 377, 237, 79
353, 377, 3, 1

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

2 x 79 x 353 x 377 x 3 x 1 = 63080394

Therefore, the lowest common multiple of 353,754,237,158 is 63080394.

LCM Formula to Find Lowest Common Multiple of 353,754,237,158

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.

353 x 754 x 237 x 158 = 9966702252

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.

353 : 1, 353

754 : 1, 2, 13, 26, 29, 58, 377, 754

237 : 1, 3, 79, 237

158 : 1, 2, 79, 158

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,754,237,158, is 1.

Now, the common factors can be found like this.

353:353

754:2x 13x 29

237:3x 79

158:2x 79

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

2x 79 = 158

Therefore, the value for common factors is 158.

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 = 9966702252/(1x158)

LCM = 9966702252/158

LCM = 63080394

Thus, we can understand that the LCM of 353,754,237,158 is 63080394.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 353, 754, 237, 158

1. What is the LCM of 353, 754, 237, 158?

Answer: LCM of 353, 754, 237, 158 is 63080394.

2. How to calculate the LCM of 353, 754, 237, 158?

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 353, 754, 237, 158.

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}.