LCM for 10 and 975
What's the Least Common Multiple (LCM) of 10 and 975?
(One thousand, nine hundred fifty)
Finding LCM for 10 and 975 using GCF's of these numbers
The first method to find LCM for numbers 10 and 975 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 975 is 5, so
LCM = (10 × 975) ÷ 5
LCM = 9750 ÷ 5
LCM = 1950
Finding LCM for 10 and 975 by Listing Multiples
The second method to find LCM for numbers 10 and 975 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 640, 650, 660, 670, 680, 690, 700, 710, 720, 730, 740, 750, 760, 770, 780, 790, 800, 810, 820, 830, 840, 850, 860, 870, 880, 890, 900, 910, 920, 930, 940, 950, 960, 970, 980, 990, 1000, 1010, 1020, 1030, 1040, 1050, 1060, 1070, 1080, 1090, 1100, 1110, 1120, 1130, 1140, 1150, 1160, 1170, 1180, 1190, 1200, 1210, 1220, 1230, 1240, 1250, 1260, 1270, 1280, 1290, 1300, 1310, 1320, 1330, 1340, 1350, 1360, 1370, 1380, 1390, 1400, 1410, 1420, 1430, 1440, 1450, 1460, 1470, 1480, 1490, 1500, 1510, 1520, 1530, 1540, 1550, 1560, 1570, 1580, 1590, 1600, 1610, 1620, 1630, 1640, 1650, 1660, 1670, 1680, 1690, 1700, 1710, 1720, 1730, 1740, 1750, 1760, 1770, 1780, 1790, 1800, 1810, 1820, 1830, 1840, 1850, 1860, 1870, 1880, 1890, 1900, 1910, 1920, 1930, 1940, 1950, 1960, 1970
Multiples of 975: 975, 1950, 2925, 3900
So the LCM for 10 and 975 is 1950
Finding LCM for 10 and 975 by Prime Factorization
Another method to find LCM for numbers 10 and 975 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 10: 2, 5 (exponent form: 21, 51)
All Prime Factors of 975: 3, 5, 5, 13 (exponent form: 31, 52, 131)
21 × 52 × 31 × 131 = 1950
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/10--975">What is the LCM of 10 and 975? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 975 | 975 |
| 2 | 975 | 1950 |
| 3 | 975 | 975 |
| 4 | 975 | 3900 |
| 5 | 975 | 975 |
| 6 | 975 | 1950 |
| 7 | 975 | 6825 |
| 8 | 975 | 7800 |
| 9 | 975 | 2925 |
| 10 | 975 | 1950 |
| 11 | 975 | 10725 |
| 12 | 975 | 3900 |
| 13 | 975 | 975 |
| 14 | 975 | 13650 |
| 15 | 975 | 975 |
| 16 | 975 | 15600 |
| 17 | 975 | 16575 |
| 18 | 975 | 5850 |
| 19 | 975 | 18525 |
| 20 | 975 | 3900 |
| 21 | 975 | 6825 |
| 22 | 975 | 21450 |
| 23 | 975 | 22425 |
| 24 | 975 | 7800 |
| 25 | 975 | 975 |
| 26 | 975 | 1950 |
| 27 | 975 | 8775 |
| 28 | 975 | 27300 |
| 29 | 975 | 28275 |
| 30 | 975 | 1950 |
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