LCM for 243 and 270
What's the Least Common Multiple (LCM) of 243 and 270?
(Two thousand, four hundred thirty)
Finding LCM for 243 and 270 using GCF's of these numbers
The first method to find LCM for numbers 243 and 270 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 243 and 270 is 27, so
LCM = (243 × 270) ÷ 27
LCM = 65610 ÷ 27
LCM = 2430
Finding LCM for 243 and 270 by Listing Multiples
The second method to find LCM for numbers 243 and 270 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 243: 243, 486, 729, 972, 1215, 1458, 1701, 1944, 2187, 2430, 2673, 2916
Multiples of 270: 270, 540, 810, 1080, 1350, 1620, 1890, 2160, 2430, 2700, 2970
So the LCM for 243 and 270 is 2430
Finding LCM for 243 and 270 by Prime Factorization
Another method to find LCM for numbers 243 and 270 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 243: 3, 3, 3, 3, 3 (exponent form: 35)
All Prime Factors of 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)
35 × 21 × 51 = 2430
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
228 | 270 | 10260 |
229 | 270 | 61830 |
230 | 270 | 6210 |
231 | 270 | 20790 |
232 | 270 | 31320 |
233 | 270 | 62910 |
234 | 270 | 3510 |
235 | 270 | 12690 |
236 | 270 | 31860 |
237 | 270 | 21330 |
238 | 270 | 32130 |
239 | 270 | 64530 |
240 | 270 | 2160 |
241 | 270 | 65070 |
242 | 270 | 32670 |
243 | 270 | 2430 |
244 | 270 | 32940 |
245 | 270 | 13230 |
246 | 270 | 11070 |
247 | 270 | 66690 |
248 | 270 | 33480 |
249 | 270 | 22410 |
250 | 270 | 6750 |
251 | 270 | 67770 |
252 | 270 | 3780 |
253 | 270 | 68310 |
254 | 270 | 34290 |
255 | 270 | 4590 |
256 | 270 | 34560 |
257 | 270 | 69390 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers