LCM for 77 and 350
What's the Least Common Multiple (LCM) of 77 and 350?
(Three thousand, eight hundred fifty)
Finding LCM for 77 and 350 using GCF's of these numbers
The first method to find LCM for numbers 77 and 350 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 77 and 350 is 7, so
LCM = (77 × 350) ÷ 7
LCM = 26950 ÷ 7
LCM = 3850
Finding LCM for 77 and 350 by Listing Multiples
The second method to find LCM for numbers 77 and 350 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 77: 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, 924, 1001, 1078, 1155, 1232, 1309, 1386, 1463, 1540, 1617, 1694, 1771, 1848, 1925, 2002, 2079, 2156, 2233, 2310, 2387, 2464, 2541, 2618, 2695, 2772, 2849, 2926, 3003, 3080, 3157, 3234, 3311, 3388, 3465, 3542, 3619, 3696, 3773, 3850, 3927, 4004
Multiples of 350: 350, 700, 1050, 1400, 1750, 2100, 2450, 2800, 3150, 3500, 3850, 4200, 4550
So the LCM for 77 and 350 is 3850
Finding LCM for 77 and 350 by Prime Factorization
Another method to find LCM for numbers 77 and 350 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 77: 7, 11 (exponent form: 71, 111)
All Prime Factors of 350: 2, 5, 5, 7 (exponent form: 21, 52, 71)
71 × 111 × 21 × 52 = 3850
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
62 | 350 | 10850 |
63 | 350 | 3150 |
64 | 350 | 11200 |
65 | 350 | 4550 |
66 | 350 | 11550 |
67 | 350 | 23450 |
68 | 350 | 11900 |
69 | 350 | 24150 |
70 | 350 | 350 |
71 | 350 | 24850 |
72 | 350 | 12600 |
73 | 350 | 25550 |
74 | 350 | 12950 |
75 | 350 | 1050 |
76 | 350 | 13300 |
77 | 350 | 3850 |
78 | 350 | 13650 |
79 | 350 | 27650 |
80 | 350 | 2800 |
81 | 350 | 28350 |
82 | 350 | 14350 |
83 | 350 | 29050 |
84 | 350 | 2100 |
85 | 350 | 5950 |
86 | 350 | 15050 |
87 | 350 | 30450 |
88 | 350 | 15400 |
89 | 350 | 31150 |
90 | 350 | 3150 |
91 | 350 | 4550 |
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