LCM for 350 and 720
What's the Least Common Multiple (LCM) of 350 and 720?
(Twenty-five thousand, two hundred)
Finding LCM for 350 and 720 using GCF's of these numbers
The first method to find LCM for numbers 350 and 720 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 350 and 720 is 10, so
LCM = (350 × 720) ÷ 10
LCM = 252000 ÷ 10
LCM = 25200
Finding LCM for 350 and 720 by Listing Multiples
The second method to find LCM for numbers 350 and 720 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 350: 350, 700, 1050, 1400, 1750, 2100, 2450, 2800, 3150, 3500, 3850, 4200, 4550, 4900, 5250, 5600, 5950, 6300, 6650, 7000, 7350, 7700, 8050, 8400, 8750, 9100, 9450, 9800, 10150, 10500, 10850, 11200, 11550, 11900, 12250, 12600, 12950, 13300, 13650, 14000, 14350, 14700, 15050, 15400, 15750, 16100, 16450, 16800, 17150, 17500, 17850, 18200, 18550, 18900, 19250, 19600, 19950, 20300, 20650, 21000, 21350, 21700, 22050, 22400, 22750, 23100, 23450, 23800, 24150, 24500, 24850, 25200, 25550, 25900
Multiples of 720: 720, 1440, 2160, 2880, 3600, 4320, 5040, 5760, 6480, 7200, 7920, 8640, 9360, 10080, 10800, 11520, 12240, 12960, 13680, 14400, 15120, 15840, 16560, 17280, 18000, 18720, 19440, 20160, 20880, 21600, 22320, 23040, 23760, 24480, 25200, 25920, 26640
So the LCM for 350 and 720 is 25200
Finding LCM for 350 and 720 by Prime Factorization
Another method to find LCM for numbers 350 and 720 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 350: 2, 5, 5, 7 (exponent form: 21, 52, 71)
All Prime Factors of 720: 2, 2, 2, 2, 3, 3, 5 (exponent form: 24, 32, 51)
24 × 52 × 71 × 32 = 25200
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
335 | 720 | 48240 |
336 | 720 | 5040 |
337 | 720 | 242640 |
338 | 720 | 121680 |
339 | 720 | 81360 |
340 | 720 | 12240 |
341 | 720 | 245520 |
342 | 720 | 13680 |
343 | 720 | 246960 |
344 | 720 | 30960 |
345 | 720 | 16560 |
346 | 720 | 124560 |
347 | 720 | 249840 |
348 | 720 | 20880 |
349 | 720 | 251280 |
350 | 720 | 25200 |
351 | 720 | 28080 |
352 | 720 | 15840 |
353 | 720 | 254160 |
354 | 720 | 42480 |
355 | 720 | 51120 |
356 | 720 | 64080 |
357 | 720 | 85680 |
358 | 720 | 128880 |
359 | 720 | 258480 |
360 | 720 | 720 |
361 | 720 | 259920 |
362 | 720 | 130320 |
363 | 720 | 87120 |
364 | 720 | 65520 |
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