Least Common Multiple of 694/58, 352/3140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 694/58, 352/3140 quickly i.e. 61072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 694/58, 352/3140 is 61072.

LCM(694/58, 352/3140) = 61072

LCM of 694/58, 352/3140

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 694/58,352/3140

Given numbers are 694/58,352/3140

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 694,352

Least Common Multiple of Numerators i.e. LCM of 694,352 is 122144.

GCF of Denominators means GCF of 58,3140 as per the given fractions.

GCF of 58,3140 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 694,352

LCM of Fractions 694/58,352/3140 is 61072

2 694, 352
347, 176

∴ So the LCM of the given numbers is 2 x 347 x 176 = 122144

Least Common Multiple of 694,352 with GCF Formula

Least Common Multiple of 694,352 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 694,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,352) = 2

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

GCF(694,352) x common factors =2 x 1 = 2

LCM(694,352) = ( 694 × 352 ) / 2

LCM(694,352) = 244288 / 2

LCM(694,352) = 122144


Lets's calculate GCF of 58,3140

2 58, 3140
29, 1570

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122144/2

Therefore the LCM of Fractions 694/58,352/3140 is 61072

Greatest Common Factor of 58,3140 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,3140 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 3140

List of positive integer factors of 3140 that divides 3140 without a remainder.

1,2,4,5,10,20,157,314,628,785,1570,3140

Greatest Common Factor

We found the factors 58,3140 . The biggest common factor number is the GCF number.
So the greatest common factor 58,3140 is 2.


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 694/58, 352/3140

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 694/58, 352/3140?

Answer: LCM of Numerators as per given numbers 694/58, 352/3140 is

LCM of Numerators i.e. for 694,352 is 122144

GCF of denominators i.e. for 58,3140 is 2.

Thus, LCM of Fractions is 61072.Finally, LCM of Fractions for 694/58, 352/3140 is 61072.