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LCM of 777, 620, 578, 941

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


Find the LCM of 777, 620, 578, 941 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 777, 620, 578, 941. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 777,620,578,941

Given numbers are 777,620,578,941

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

The LCM of 777,620,578,941 is 131008711260.

Find LCM of 777,620,578,941 with Prime Factorization


2 777, 620, 578, 941
777, 310, 289, 941

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

2 x 777 x 310 x 289 x 941 = 131008711260

Therefore, the lowest common multiple of 777,620,578,941 is 131008711260.

LCM Formula to Find Lowest Common Multiple of 777,620,578,941

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.

777 x 620 x 578 x 941 = 262017422520

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.

777 : 1, 3, 7, 21, 37, 111, 259, 777

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

578 : 1, 2, 17, 34, 289, 578

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,620,578,941, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

620:2x 2x 5x 31

578:2x 17x 17

941:941

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 = 262017422520/(1x2)

LCM = 262017422520/2

LCM = 131008711260

Thus, we can understand that the LCM of 777,620,578,941 is 131008711260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 777, 620, 578, 941

1. What is the LCM of 777, 620, 578, 941?

Answer: LCM of 777, 620, 578, 941 is 131008711260.

2. How to calculate the LCM of 777, 620, 578, 941?

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 777, 620, 578, 941.

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}.