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LCM of 788, 942, 475, 480

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


Find the LCM of 788, 942, 475, 480 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 788, 942, 475, 480. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 788,942,475,480

Given numbers are 788,942,475,480

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

The LCM of 788,942,475,480 is 1410362400.

Find LCM of 788,942,475,480 with Prime Factorization


2 788, 942, 475, 480
2 394, 471, 475, 240
3 197, 471, 475, 120
5 197, 157, 475, 40
197, 157, 95, 8

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

2 x 2 x 3 x 5 x 197 x 157 x 95 x 8 = 1410362400

Therefore, the lowest common multiple of 788,942,475,480 is 1410362400.

LCM Formula to Find Lowest Common Multiple of 788,942,475,480

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.

788 x 942 x 475 x 480 = 169243488000

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.

788 : 1, 2, 4, 197, 394, 788

942 : 1, 2, 3, 6, 157, 314, 471, 942

475 : 1, 5, 19, 25, 95, 475

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,942,475,480, is 1.

Now, the common factors can be found like this.

788:2x 2x 197

942:2x 3x 157

475:5x 5x 19

480:2x 2x 2x 2x 2x 3x 5

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 169243488000/(1x120)

LCM = 169243488000/120

LCM = 1410362400

Thus, we can understand that the LCM of 788,942,475,480 is 1410362400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 788, 942, 475, 480

1. What is the LCM of 788, 942, 475, 480?

Answer: LCM of 788, 942, 475, 480 is 1410362400.

2. How to calculate the LCM of 788, 942, 475, 480?

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 788, 942, 475, 480.

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}.