LCM for 105 and 770
What's the Least Common Multiple (LCM) of 105 and 770?
(Two thousand, three hundred ten)
Finding LCM for 105 and 770 using GCF's of these numbers
The first method to find LCM for numbers 105 and 770 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 105 and 770 is 35, so
LCM = (105 × 770) ÷ 35
LCM = 80850 ÷ 35
LCM = 2310
Finding LCM for 105 and 770 by Listing Multiples
The second method to find LCM for numbers 105 and 770 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, 1155, 1260, 1365, 1470, 1575, 1680, 1785, 1890, 1995, 2100, 2205, 2310, 2415, 2520
Multiples of 770: 770, 1540, 2310, 3080, 3850
So the LCM for 105 and 770 is 2310
Finding LCM for 105 and 770 by Prime Factorization
Another method to find LCM for numbers 105 and 770 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)
All Prime Factors of 770: 2, 5, 7, 11 (exponent form: 21, 51, 71, 111)
31 × 51 × 71 × 21 × 111 = 2310
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
90 | 770 | 6930 |
91 | 770 | 10010 |
92 | 770 | 35420 |
93 | 770 | 71610 |
94 | 770 | 36190 |
95 | 770 | 14630 |
96 | 770 | 36960 |
97 | 770 | 74690 |
98 | 770 | 5390 |
99 | 770 | 6930 |
100 | 770 | 7700 |
101 | 770 | 77770 |
102 | 770 | 39270 |
103 | 770 | 79310 |
104 | 770 | 40040 |
105 | 770 | 2310 |
106 | 770 | 40810 |
107 | 770 | 82390 |
108 | 770 | 41580 |
109 | 770 | 83930 |
110 | 770 | 770 |
111 | 770 | 85470 |
112 | 770 | 6160 |
113 | 770 | 87010 |
114 | 770 | 43890 |
115 | 770 | 17710 |
116 | 770 | 44660 |
117 | 770 | 90090 |
118 | 770 | 45430 |
119 | 770 | 13090 |
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