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LCM of 942, 918, 224, 565, 928

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


Find the LCM of 942, 918, 224, 565, 928 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 942, 918, 224, 565, 928. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 942,918,224,565,928

Given numbers are 942,918,224,565,928

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

The LCM of 942,918,224,565,928 is 264488505120.

Find LCM of 942,918,224,565,928 with Prime Factorization


2 942, 918, 224, 565, 928
2 471, 459, 112, 565, 464
2 471, 459, 56, 565, 232
2 471, 459, 28, 565, 116
2 471, 459, 14, 565, 58
3 471, 459, 7, 565, 29
157, 153, 7, 565, 29

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

2 x 2 x 2 x 2 x 2 x 3 x 157 x 153 x 7 x 565 x 29 = 264488505120

Therefore, the lowest common multiple of 942,918,224,565,928 is 264488505120.

LCM Formula to Find Lowest Common Multiple of 942,918,224,565,928

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.

942 x 918 x 224 x 565 x 928 = 101563585966080

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.

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

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

565 : 1, 5, 113, 565

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,918,224,565,928, is 1.

Now, the common factors can be found like this.

942:2x 3x 157

918:2x 3x 3x 3x 17

224:2x 2x 2x 2x 2x 7

565:5x 113

928:2x 2x 2x 2x 2x 29

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 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 101563585966080/(1x384)

LCM = 101563585966080/384

LCM = 264488505120

Thus, we can understand that the LCM of 942,918,224,565,928 is 264488505120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 942, 918, 224, 565, 928

1. What is the LCM of 942, 918, 224, 565, 928?

Answer: LCM of 942, 918, 224, 565, 928 is 264488505120.

2. How to calculate the LCM of 942, 918, 224, 565, 928?

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 942, 918, 224, 565, 928.

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}.