Least Common Multiple of 17/133, 41/385, 400/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/133, 41/385, 400/770 quickly i.e. 278800/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/133, 41/385, 400/770 is 278800/7.

LCM(17/133, 41/385, 400/770) = 278800/7

LCM of 17/133, 41/385, 400/770

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 17/133,41/385,400/770

Given numbers are 17/133,41/385,400/770

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 17,41,400

Least Common Multiple of Numerators i.e. LCM of 17,41,400 is 278800.

GCF of Denominators means GCF of 133,385,770 as per the given fractions.

GCF of 133,385,770 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,41,400

LCM of Fractions 17/133,41/385,400/770 is 278800/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 278800

Least Common Multiple of 17,41,400 with GCF Formula

Least Common Multiple of 17,41,400 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 17,41,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,41,400) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(17,41,400) x common factors =1 x 1 = 1

LCM(17,41,400) = ( 17 × 41 × 400 ) / 1

LCM(17,41,400) = 278800 / 1

LCM(17,41,400) = 278800


Lets's calculate GCF of 133,385,770

7 133, 385, 770
19, 55, 110

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278800/7

Therefore the LCM of Fractions 17/133,41/385,400/770 is 278800/7

Greatest Common Factor of 133,385,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,385,770 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

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 133,385,770 . The biggest common factor number is the GCF number.
So the greatest common factor 133,385,770 is 7.


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 17/133, 41/385, 400/770

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 17/133, 41/385, 400/770?

Answer: LCM of Numerators as per given numbers 17/133, 41/385, 400/770 is

LCM of Numerators i.e. for 17,41,400 is 278800

GCF of denominators i.e. for 133,385,770 is 7.

Thus, LCM of Fractions is 278800/7.Finally, LCM of Fractions for 17/133, 41/385, 400/770 is 278800/7.