Least Common Multiple of 12/68, 18/42, 70/47, 49/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/68, 18/42, 70/47, 49/313 quickly i.e. 8820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/68, 18/42, 70/47, 49/313 is 8820.

LCM(12/68, 18/42, 70/47, 49/313) = 8820

LCM of 12/68, 18/42, 70/47, 49/313

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 12/68,18/42,70/47,49/313

Given numbers are 12/68,18/42,70/47,49/313

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 12,18,70,49

Least Common Multiple of Numerators i.e. LCM of 12,18,70,49 is 8820.

GCF of Denominators means GCF of 68,42,47,313 as per the given fractions.

GCF of 68,42,47,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,18,70,49

LCM of Fractions 12/68,18/42,70/47,49/313 is 8820

2 12, 18, 70, 49
3 6, 9, 35, 49
7 2, 3, 35, 49
2, 3, 5, 7

∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 3 x 5 x 7 = 8820

Least Common Multiple of 12,18,70,49 with GCF Formula

Least Common Multiple of 12,18,70,49 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 12,18,70,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,18,70,49) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(12,18,70,49) x common factors =1 x 84 = 84

LCM(12,18,70,49) = ( 12 × 18 × 70 × 49 ) / 84

LCM(12,18,70,49) = 740880 / 84

LCM(12,18,70,49) = 8820


Lets's calculate GCF of 68,42,47,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8820/1

Therefore the LCM of Fractions 12/68,18/42,70/47,49/313 is 8820

Greatest Common Factor of 68,42,47,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,42,47,313 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 68,42,47,313 . The biggest common factor number is the GCF number.
So the greatest common factor 68,42,47,313 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 12/68, 18/42, 70/47, 49/313

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 12/68, 18/42, 70/47, 49/313?

Answer: LCM of Numerators as per given numbers 12/68, 18/42, 70/47, 49/313 is

LCM of Numerators i.e. for 12,18,70,49 is 8820

GCF of denominators i.e. for 68,42,47,313 is 1.

Thus, LCM of Fractions is 8820.Finally, LCM of Fractions for 12/68, 18/42, 70/47, 49/313 is 8820.