Least Common Multiple of 1785, 3468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 1785, 3468 i.e. 121380 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1785, 3468 is 121380.

LCM(1785, 3468) = 121380

LCM of 1785, 3468

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 1785,3468

Least Common Multiple (LCM) of 1785,3468 is 121380

3 1785, 3468
17 595, 1156
35, 68

∴ So the LCM of the given numbers is 3 x 17 x 35 x 68 = 121380

Least Common Multiple of 1785,3468 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1785,3468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1785,3468) = 51

common factors(in case of two or more numbers have common factors) = 1

GCF(1785,3468) x common factors =51 x 1 = 51

LCM(1785,3468) = ( 1785 × 3468 ) / 51

LCM(1785,3468) = 6190380 / 51

LCM(1785,3468) = 121380

∴ Least Common Multiple of 1785,3468 is 121380

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 1785, 3468

1. What is the LCM of 1785, 3468?

Answer: LCM of 1785, 3468 is 121380.

2. What are the Factors of 121380?

Answer: Factors of 121380 are . There are integers that are factors of 121380

3. How to Find the LCM of 1785, 3468 ?

Least Common Multiple of 1785, 3468.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(1785, 3468) = 2 x 2 x 3 x 5 x 7 x 17 x 17 = 121380.