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LCM of 967, 714, 669, 894, 767

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


Find the LCM of 967, 714, 669, 894, 767 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 967, 714, 669, 894, 767. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,714,669,894,767

Given numbers are 967,714,669,894,767

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

The LCM of 967,714,669,894,767 is 17595887687742.

Find LCM of 967,714,669,894,767 with Prime Factorization


2 967, 714, 669, 894, 767
3 967, 357, 669, 447, 767
967, 119, 223, 149, 767

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

2 x 3 x 967 x 119 x 223 x 149 x 767 = 17595887687742

Therefore, the lowest common multiple of 967,714,669,894,767 is 17595887687742.

LCM Formula to Find Lowest Common Multiple of 967,714,669,894,767

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.

967 x 714 x 669 x 894 x 767 = 316725978379356

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.

967 : 1, 967

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

669 : 1, 3, 223, 669

894 : 1, 2, 3, 6, 149, 298, 447, 894

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,714,669,894,767, is 1.

Now, the common factors can be found like this.

967:967

714:2x 3x 7x 17

669:3x 223

894:2x 3x 149

767:13x 59

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 316725978379356/(1x18)

LCM = 316725978379356/18

LCM = 17595887687742

Thus, we can understand that the LCM of 967,714,669,894,767 is 17595887687742.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 714, 669, 894, 767

1. What is the LCM of 967, 714, 669, 894, 767?

Answer: LCM of 967, 714, 669, 894, 767 is 17595887687742.

2. How to calculate the LCM of 967, 714, 669, 894, 767?

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 967, 714, 669, 894, 767.

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}.