Least Common Multiple of 35/860, 75/385, 155/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/860, 75/385, 155/770 quickly i.e. 3255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/860, 75/385, 155/770 is 3255.

LCM(35/860, 75/385, 155/770) = 3255

LCM of 35/860, 75/385, 155/770

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 35/860,75/385,155/770

Given numbers are 35/860,75/385,155/770

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 35,75,155

Least Common Multiple of Numerators i.e. LCM of 35,75,155 is 16275.

GCF of Denominators means GCF of 860,385,770 as per the given fractions.

GCF of 860,385,770 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,75,155

LCM of Fractions 35/860,75/385,155/770 is 3255

5 35, 75, 155
7, 15, 31

∴ So the LCM of the given numbers is 5 x 7 x 15 x 31 = 16275

Least Common Multiple of 35,75,155 with GCF Formula

Least Common Multiple of 35,75,155 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 35,75,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,75,155) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(35,75,155) x common factors =5 x 5 = 25

LCM(35,75,155) = ( 35 × 75 × 155 ) / 25

LCM(35,75,155) = 406875 / 25

LCM(35,75,155) = 16275


Lets's calculate GCF of 860,385,770

5 860, 385, 770
172, 77, 154

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16275/5

Therefore the LCM of Fractions 35/860,75/385,155/770 is 3255

Greatest Common Factor of 860,385,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,385,770 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 860,385,770 . The biggest common factor number is the GCF number.
So the greatest common factor 860,385,770 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 35/860, 75/385, 155/770

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 35/860, 75/385, 155/770?

Answer: LCM of Numerators as per given numbers 35/860, 75/385, 155/770 is

LCM of Numerators i.e. for 35,75,155 is 16275

GCF of denominators i.e. for 860,385,770 is 5.

Thus, LCM of Fractions is 3255.Finally, LCM of Fractions for 35/860, 75/385, 155/770 is 3255.