Least Common Multiple of 4/14, 6/56, 7/30, 78/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/14, 6/56, 7/30, 78/861 quickly i.e. 1092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/14, 6/56, 7/30, 78/861 is 1092.

LCM(4/14, 6/56, 7/30, 78/861) = 1092

LCM of 4/14, 6/56, 7/30, 78/861

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 4/14,6/56,7/30,78/861

Given numbers are 4/14,6/56,7/30,78/861

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 4,6,7,78

Least Common Multiple of Numerators i.e. LCM of 4,6,7,78 is 1092.

GCF of Denominators means GCF of 14,56,30,861 as per the given fractions.

GCF of 14,56,30,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,6,7,78

LCM of Fractions 4/14,6/56,7/30,78/861 is 1092

2 4, 6, 7, 78
3 2, 3, 7, 39
2, 1, 7, 13

∴ So the LCM of the given numbers is 2 x 3 x 2 x 1 x 7 x 13 = 1092

Least Common Multiple of 4,6,7,78 with GCF Formula

Least Common Multiple of 4,6,7,78 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 4,6,7,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,6,7,78) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(4,6,7,78) x common factors =1 x 12 = 12

LCM(4,6,7,78) = ( 4 × 6 × 7 × 78 ) / 12

LCM(4,6,7,78) = 13104 / 12

LCM(4,6,7,78) = 1092


Lets's calculate GCF of 14,56,30,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1092/1

Therefore the LCM of Fractions 4/14,6/56,7/30,78/861 is 1092

Greatest Common Factor of 14,56,30,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,56,30,861 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 14,56,30,861 . The biggest common factor number is the GCF number.
So the greatest common factor 14,56,30,861 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 4/14, 6/56, 7/30, 78/861

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 4/14, 6/56, 7/30, 78/861?

Answer: LCM of Numerators as per given numbers 4/14, 6/56, 7/30, 78/861 is

LCM of Numerators i.e. for 4,6,7,78 is 1092

GCF of denominators i.e. for 14,56,30,861 is 1.

Thus, LCM of Fractions is 1092.Finally, LCM of Fractions for 4/14, 6/56, 7/30, 78/861 is 1092.