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LCM of 672, 961, 791, 671

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


Find the LCM of 672, 961, 791, 671 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 672, 961, 791, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 672,961,791,671

Given numbers are 672,961,791,671

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

The LCM of 672,961,791,671 is 48965886816.

Find LCM of 672,961,791,671 with Prime Factorization


7 672, 961, 791, 671
96, 961, 113, 671

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

7 x 96 x 961 x 113 x 671 = 48965886816

Therefore, the lowest common multiple of 672,961,791,671 is 48965886816.

LCM Formula to Find Lowest Common Multiple of 672,961,791,671

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.

672 x 961 x 791 x 671 = 342761207712

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.

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

961 : 1, 31, 961

791 : 1, 7, 113, 791

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,961,791,671, is 1.

Now, the common factors can be found like this.

672:2x 2x 2x 2x 2x 3x 7

961:31x 31

791:7x 113

671:11x 61

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

7 = 7

Therefore, the value for common factors is 7.

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 = 342761207712/(1x7)

LCM = 342761207712/7

LCM = 48965886816

Thus, we can understand that the LCM of 672,961,791,671 is 48965886816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 672, 961, 791, 671

1. What is the LCM of 672, 961, 791, 671?

Answer: LCM of 672, 961, 791, 671 is 48965886816.

2. How to calculate the LCM of 672, 961, 791, 671?

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 672, 961, 791, 671.

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}.