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LCM of 772, 628, 924, 473, 927

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


Find the LCM of 772, 628, 924, 473, 927 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 772, 628, 924, 473, 927. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 772,628,924,473,927

Given numbers are 772,628,924,473,927

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

The LCM of 772,628,924,473,927 is 372011073588.

Find LCM of 772,628,924,473,927 with Prime Factorization


2 772, 628, 924, 473, 927
2 386, 314, 462, 473, 927
3 193, 157, 231, 473, 927
11 193, 157, 77, 473, 309
193, 157, 7, 43, 309

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

2 x 2 x 3 x 11 x 193 x 157 x 7 x 43 x 309 = 372011073588

Therefore, the lowest common multiple of 772,628,924,473,927 is 372011073588.

LCM Formula to Find Lowest Common Multiple of 772,628,924,473,927

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.

772 x 628 x 924 x 473 x 927 = 196421846854464

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.

772 : 1, 2, 4, 193, 386, 772

628 : 1, 2, 4, 157, 314, 628

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

473 : 1, 11, 43, 473

927 : 1, 3, 9, 103, 309, 927

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,628,924,473,927, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

628:2x 2x 157

924:2x 2x 3x 7x 11

473:11x 43

927:3x 3x 103

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

2x 2x 2x 2x 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 196421846854464/(1x528)

LCM = 196421846854464/528

LCM = 372011073588

Thus, we can understand that the LCM of 772,628,924,473,927 is 372011073588.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 772, 628, 924, 473, 927

1. What is the LCM of 772, 628, 924, 473, 927?

Answer: LCM of 772, 628, 924, 473, 927 is 372011073588.

2. How to calculate the LCM of 772, 628, 924, 473, 927?

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 772, 628, 924, 473, 927.

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}.