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LCM of 991, 473, 264, 523

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


Find the LCM of 991, 473, 264, 523 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 991, 473, 264, 523. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 991,473,264,523

Given numbers are 991,473,264,523

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

The LCM of 991,473,264,523 is 5883662136.

Find LCM of 991,473,264,523 with Prime Factorization


11 991, 473, 264, 523
991, 43, 24, 523

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

11 x 991 x 43 x 24 x 523 = 5883662136

Therefore, the lowest common multiple of 991,473,264,523 is 5883662136.

LCM Formula to Find Lowest Common Multiple of 991,473,264,523

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.

991 x 473 x 264 x 523 = 64720283496

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.

991 : 1, 991

473 : 1, 11, 43, 473

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,473,264,523, is 1.

Now, the common factors can be found like this.

991:991

473:11x 43

264:2x 2x 2x 3x 11

523:523

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

11 = 11

Therefore, the value for common factors is 11.

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 = 64720283496/(1x11)

LCM = 64720283496/11

LCM = 5883662136

Thus, we can understand that the LCM of 991,473,264,523 is 5883662136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 991, 473, 264, 523

1. What is the LCM of 991, 473, 264, 523?

Answer: LCM of 991, 473, 264, 523 is 5883662136.

2. How to calculate the LCM of 991, 473, 264, 523?

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 991, 473, 264, 523.

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}.