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LCM of 748, 466, 967, 591

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


Find the LCM of 748, 466, 967, 591 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 748, 466, 967, 591. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,466,967,591

Given numbers are 748,466,967,591

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

The LCM of 748,466,967,591 is 99602783148.

Find LCM of 748,466,967,591 with Prime Factorization


2 748, 466, 967, 591
374, 233, 967, 591

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

2 x 374 x 233 x 967 x 591 = 99602783148

Therefore, the lowest common multiple of 748,466,967,591 is 99602783148.

LCM Formula to Find Lowest Common Multiple of 748,466,967,591

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.

748 x 466 x 967 x 591 = 199205566296

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

466 : 1, 2, 233, 466

967 : 1, 967

591 : 1, 3, 197, 591

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,466,967,591, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

466:2x 233

967:967

591:3x 197

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

2 = 2

Therefore, the value for common factors is 2.

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 = 199205566296/(1x2)

LCM = 199205566296/2

LCM = 99602783148

Thus, we can understand that the LCM of 748,466,967,591 is 99602783148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 466, 967, 591

1. What is the LCM of 748, 466, 967, 591?

Answer: LCM of 748, 466, 967, 591 is 99602783148.

2. How to calculate the LCM of 748, 466, 967, 591?

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 748, 466, 967, 591.

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}.