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LCM of 467, 937, 506, 954

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


Find the LCM of 467, 937, 506, 954 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 467, 937, 506, 954. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 467,937,506,954

Given numbers are 467,937,506,954

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

The LCM of 467,937,506,954 is 105614942598.

Find LCM of 467,937,506,954 with Prime Factorization


2 467, 937, 506, 954
467, 937, 253, 477

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

2 x 467 x 937 x 253 x 477 = 105614942598

Therefore, the lowest common multiple of 467,937,506,954 is 105614942598.

LCM Formula to Find Lowest Common Multiple of 467,937,506,954

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.

467 x 937 x 506 x 954 = 211229885196

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.

467 : 1, 467

937 : 1, 937

506 : 1, 2, 11, 22, 23, 46, 253, 506

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,937,506,954, is 1.

Now, the common factors can be found like this.

467:467

937:937

506:2x 11x 23

954:2x 3x 3x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 211229885196/(1x2)

LCM = 211229885196/2

LCM = 105614942598

Thus, we can understand that the LCM of 467,937,506,954 is 105614942598.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 467, 937, 506, 954

1. What is the LCM of 467, 937, 506, 954?

Answer: LCM of 467, 937, 506, 954 is 105614942598.

2. How to calculate the LCM of 467, 937, 506, 954?

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 467, 937, 506, 954.

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}.