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LCM of 472, 766, 234, 888

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


Find the LCM of 472, 766, 234, 888 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 472, 766, 234, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 472,766,234,888

Given numbers are 472,766,234,888

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

The LCM of 472,766,234,888 is 782579304.

Find LCM of 472,766,234,888 with Prime Factorization


2 472, 766, 234, 888
2 236, 383, 117, 444
2 118, 383, 117, 222
3 59, 383, 117, 111
59, 383, 39, 37

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

2 x 2 x 2 x 3 x 59 x 383 x 39 x 37 = 782579304

Therefore, the lowest common multiple of 472,766,234,888 is 782579304.

LCM Formula to Find Lowest Common Multiple of 472,766,234,888

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.

472 x 766 x 234 x 888 = 75127613184

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.

472 : 1, 2, 4, 8, 59, 118, 236, 472

766 : 1, 2, 383, 766

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,766,234,888, is 2.

Now, the common factors can be found like this.

472:2x 2x 2x 59

766:2x 383

234:2x 3x 3x 13

888:2x 2x 2x 3x 37

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 3 = 48

Therefore, the value for common factors is 48.

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 = 75127613184/(2x48)

LCM = 75127613184/96

LCM = 782579304

Thus, we can understand that the LCM of 472,766,234,888 is 782579304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 472, 766, 234, 888

1. What is the LCM of 472, 766, 234, 888?

Answer: LCM of 472, 766, 234, 888 is 782579304.

2. How to calculate the LCM of 472, 766, 234, 888?

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 472, 766, 234, 888.

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}.