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LCM of 773, 739, 868, 961

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


Find the LCM of 773, 739, 868, 961 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 773, 739, 868, 961. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 773,739,868,961

Given numbers are 773,739,868,961

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

The LCM of 773,739,868,961 is 15371114276.

Find LCM of 773,739,868,961 with Prime Factorization


31 773, 739, 868, 961
773, 739, 28, 31

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

31 x 773 x 739 x 28 x 31 = 15371114276

Therefore, the lowest common multiple of 773,739,868,961 is 15371114276.

LCM Formula to Find Lowest Common Multiple of 773,739,868,961

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.

773 x 739 x 868 x 961 = 476504542556

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.

773 : 1, 773

739 : 1, 739

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,739,868,961, is 1.

Now, the common factors can be found like this.

773:773

739:739

868:2x 2x 7x 31

961:31x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 476504542556/(1x31)

LCM = 476504542556/31

LCM = 15371114276

Thus, we can understand that the LCM of 773,739,868,961 is 15371114276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 773, 739, 868, 961

1. What is the LCM of 773, 739, 868, 961?

Answer: LCM of 773, 739, 868, 961 is 15371114276.

2. How to calculate the LCM of 773, 739, 868, 961?

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 773, 739, 868, 961.

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}.