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LCM of 902, 408, 527, 974

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


Find the LCM of 902, 408, 527, 974 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 902, 408, 527, 974. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,408,527,974

Given numbers are 902,408,527,974

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

The LCM of 902,408,527,974 is 2777968776.

Find LCM of 902,408,527,974 with Prime Factorization


2 902, 408, 527, 974
17 451, 204, 527, 487
451, 12, 31, 487

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

2 x 17 x 451 x 12 x 31 x 487 = 2777968776

Therefore, the lowest common multiple of 902,408,527,974 is 2777968776.

LCM Formula to Find Lowest Common Multiple of 902,408,527,974

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.

902 x 408 x 527 x 974 = 188901876768

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

527 : 1, 17, 31, 527

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,408,527,974, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

408:2x 2x 2x 3x 17

527:17x 31

974:2x 487

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 17 = 68

Therefore, the value for common factors is 68.

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 = 188901876768/(1x68)

LCM = 188901876768/68

LCM = 2777968776

Thus, we can understand that the LCM of 902,408,527,974 is 2777968776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 408, 527, 974

1. What is the LCM of 902, 408, 527, 974?

Answer: LCM of 902, 408, 527, 974 is 2777968776.

2. How to calculate the LCM of 902, 408, 527, 974?

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 902, 408, 527, 974.

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}.