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LCM of 299, 251, 946, 753

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


Find the LCM of 299, 251, 946, 753 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 299, 251, 946, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,251,946,753

Given numbers are 299,251,946,753

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

The LCM of 299,251,946,753 is 212989062.

Find LCM of 299,251,946,753 with Prime Factorization


251 299, 251, 946, 753
299, 1, 946, 3

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

251 x 299 x 1 x 946 x 3 = 212989062

Therefore, the lowest common multiple of 299,251,946,753 is 212989062.

LCM Formula to Find Lowest Common Multiple of 299,251,946,753

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.

299 x 251 x 946 x 753 = 53460254562

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.

299 : 1, 13, 23, 299

251 : 1, 251

946 : 1, 2, 11, 22, 43, 86, 473, 946

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,251,946,753, is 1.

Now, the common factors can be found like this.

299:13x 23

251:251

946:2x 11x 43

753:3x 251

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

251 = 251

Therefore, the value for common factors is 251.

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 = 53460254562/(1x251)

LCM = 53460254562/251

LCM = 212989062

Thus, we can understand that the LCM of 299,251,946,753 is 212989062.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 251, 946, 753

1. What is the LCM of 299, 251, 946, 753?

Answer: LCM of 299, 251, 946, 753 is 212989062.

2. How to calculate the LCM of 299, 251, 946, 753?

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 299, 251, 946, 753.

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}.