Least Common Multiple of 349/13, 102/78, 144/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/13, 102/78, 144/770 quickly i.e. 854352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/13, 102/78, 144/770 is 854352.

LCM(349/13, 102/78, 144/770) = 854352

LCM of 349/13, 102/78, 144/770

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 349/13,102/78,144/770

Given numbers are 349/13,102/78,144/770

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 349,102,144

Least Common Multiple of Numerators i.e. LCM of 349,102,144 is 854352.

GCF of Denominators means GCF of 13,78,770 as per the given fractions.

GCF of 13,78,770 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,102,144

LCM of Fractions 349/13,102/78,144/770 is 854352

2 349, 102, 144
3 349, 51, 72
349, 17, 24

∴ So the LCM of the given numbers is 2 x 3 x 349 x 17 x 24 = 854352

Least Common Multiple of 349,102,144 with GCF Formula

Least Common Multiple of 349,102,144 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 349,102,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,102,144) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(349,102,144) x common factors =1 x 6 = 6

LCM(349,102,144) = ( 349 × 102 × 144 ) / 6

LCM(349,102,144) = 5126112 / 6

LCM(349,102,144) = 854352


Lets's calculate GCF of 13,78,770

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 854352/1

Therefore the LCM of Fractions 349/13,102/78,144/770 is 854352

Greatest Common Factor of 13,78,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,78,770 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

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 13,78,770 . The biggest common factor number is the GCF number.
So the greatest common factor 13,78,770 is 1.


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 349/13, 102/78, 144/770

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 349/13, 102/78, 144/770?

Answer: LCM of Numerators as per given numbers 349/13, 102/78, 144/770 is

LCM of Numerators i.e. for 349,102,144 is 854352

GCF of denominators i.e. for 13,78,770 is 1.

Thus, LCM of Fractions is 854352.Finally, LCM of Fractions for 349/13, 102/78, 144/770 is 854352.