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LCM of 473, 536, 692, 131, 654

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


Find the LCM of 473, 536, 692, 131, 654 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 473, 536, 692, 131, 654. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,536,692,131,654

Given numbers are 473,536,692,131,654

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

The LCM of 473,536,692,131,654 is 1878845555928.

Find LCM of 473,536,692,131,654 with Prime Factorization


2 473, 536, 692, 131, 654
2 473, 268, 346, 131, 327
473, 134, 173, 131, 327

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

2 x 2 x 473 x 134 x 173 x 131 x 327 = 1878845555928

Therefore, the lowest common multiple of 473,536,692,131,654 is 1878845555928.

LCM Formula to Find Lowest Common Multiple of 473,536,692,131,654

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.

473 x 536 x 692 x 131 x 654 = 15030764447424

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.

473 : 1, 11, 43, 473

536 : 1, 2, 4, 8, 67, 134, 268, 536

692 : 1, 2, 4, 173, 346, 692

131 : 1, 131

654 : 1, 2, 3, 6, 109, 218, 327, 654

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,536,692,131,654, is 1.

Now, the common factors can be found like this.

473:11x 43

536:2x 2x 2x 67

692:2x 2x 173

131:131

654:2x 3x 109

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 2 = 8

Therefore, the value for common factors is 8.

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 = 15030764447424/(1x8)

LCM = 15030764447424/8

LCM = 1878845555928

Thus, we can understand that the LCM of 473,536,692,131,654 is 1878845555928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 536, 692, 131, 654

1. What is the LCM of 473, 536, 692, 131, 654?

Answer: LCM of 473, 536, 692, 131, 654 is 1878845555928.

2. How to calculate the LCM of 473, 536, 692, 131, 654?

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 473, 536, 692, 131, 654.

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}.