Least Common Multiple of 349/35, 685/7880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/35, 685/7880 quickly i.e. 47813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/35, 685/7880 is 47813.

LCM(349/35, 685/7880) = 47813

LCM of 349/35, 685/7880

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 349/35,685/7880

Given numbers are 349/35,685/7880

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 349,685

Least Common Multiple of Numerators i.e. LCM of 349,685 is 239065.

GCF of Denominators means GCF of 35,7880 as per the given fractions.

GCF of 35,7880 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,685

LCM of Fractions 349/35,685/7880 is 47813

Given numbers has no common factors except 1. So, there LCM is their product i.e 239065

Least Common Multiple of 349,685 with GCF Formula

Least Common Multiple of 349,685 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 349,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,685) = 1

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

GCF(349,685) x common factors =1 x 1 = 1

LCM(349,685) = ( 349 × 685 ) / 1

LCM(349,685) = 239065 / 1

LCM(349,685) = 239065


Lets's calculate GCF of 35,7880

5 35, 7880
7, 1576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239065/5

Therefore the LCM of Fractions 349/35,685/7880 is 47813

Greatest Common Factor of 35,7880 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,7880 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 7880

List of positive integer factors of 7880 that divides 7880 without a remainder.

1,2,4,5,8,10,20,40,197,394,788,985,1576,1970,3940,7880

Greatest Common Factor

We found the factors 35,7880 . The biggest common factor number is the GCF number.
So the greatest common factor 35,7880 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 349/35, 685/7880

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 349/35, 685/7880?

Answer: LCM of Numerators as per given numbers 349/35, 685/7880 is

LCM of Numerators i.e. for 349,685 is 239065

GCF of denominators i.e. for 35,7880 is 5.

Thus, LCM of Fractions is 47813.Finally, LCM of Fractions for 349/35, 685/7880 is 47813.