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LCM of 633, 980, 376, 940

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


Find the LCM of 633, 980, 376, 940 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 633, 980, 376, 940. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 633,980,376,940

Given numbers are 633,980,376,940

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

The LCM of 633,980,376,940 is 58311960.

Find LCM of 633,980,376,940 with Prime Factorization


2 633, 980, 376, 940
2 633, 490, 188, 470
5 633, 245, 94, 235
47 633, 49, 94, 47
633, 49, 2, 1

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

2 x 2 x 5 x 47 x 633 x 49 x 2 x 1 = 58311960

Therefore, the lowest common multiple of 633,980,376,940 is 58311960.

LCM Formula to Find Lowest Common Multiple of 633,980,376,940

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.

633 x 980 x 376 x 940 = 219252969600

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.

633 : 1, 3, 211, 633

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

376 : 1, 2, 4, 8, 47, 94, 188, 376

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,980,376,940, is 1.

Now, the common factors can be found like this.

633:3x 211

980:2x 2x 5x 7x 7

376:2x 2x 2x 47

940:2x 2x 5x 47

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 5x 47 = 3760

Therefore, the value for common factors is 3760.

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 = 219252969600/(1x3760)

LCM = 219252969600/3760

LCM = 58311960

Thus, we can understand that the LCM of 633,980,376,940 is 58311960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 633, 980, 376, 940

1. What is the LCM of 633, 980, 376, 940?

Answer: LCM of 633, 980, 376, 940 is 58311960.

2. How to calculate the LCM of 633, 980, 376, 940?

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 633, 980, 376, 940.

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}.