Least Common Multiple of 56/369, 5680/6214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/369, 5680/6214 quickly i.e. 39760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/369, 5680/6214 is 39760.

LCM(56/369, 5680/6214) = 39760

LCM of 56/369, 5680/6214

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 56/369,5680/6214

Given numbers are 56/369,5680/6214

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 56,5680

Least Common Multiple of Numerators i.e. LCM of 56,5680 is 39760.

GCF of Denominators means GCF of 369,6214 as per the given fractions.

GCF of 369,6214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,5680

LCM of Fractions 56/369,5680/6214 is 39760

2 56, 5680
2 28, 2840
2 14, 1420
7, 710

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 710 = 39760

Least Common Multiple of 56,5680 with GCF Formula

Least Common Multiple of 56,5680 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 56,5680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,5680) = 8

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

GCF(56,5680) x common factors =8 x 1 = 8

LCM(56,5680) = ( 56 × 5680 ) / 8

LCM(56,5680) = 318080 / 8

LCM(56,5680) = 39760


Lets's calculate GCF of 369,6214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39760/1

Therefore the LCM of Fractions 56/369,5680/6214 is 39760

Greatest Common Factor of 369,6214 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,6214 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 6214

List of positive integer factors of 6214 that divides 6214 without a remainder.

1,2,13,26,239,478,3107,6214

Greatest Common Factor

We found the factors 369,6214 . The biggest common factor number is the GCF number.
So the greatest common factor 369,6214 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 56/369, 5680/6214

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 56/369, 5680/6214?

Answer: LCM of Numerators as per given numbers 56/369, 5680/6214 is

LCM of Numerators i.e. for 56,5680 is 39760

GCF of denominators i.e. for 369,6214 is 1.

Thus, LCM of Fractions is 39760.Finally, LCM of Fractions for 56/369, 5680/6214 is 39760.