Least Common Multiple of 5856/340, 6980/1690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5856/340, 6980/1690 quickly i.e. 1021872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5856/340, 6980/1690 is 1021872.

LCM(5856/340, 6980/1690) = 1021872

LCM of 5856/340, 6980/1690

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 5856/340,6980/1690

Given numbers are 5856/340,6980/1690

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 5856,6980

Least Common Multiple of Numerators i.e. LCM of 5856,6980 is 10218720.

GCF of Denominators means GCF of 340,1690 as per the given fractions.

GCF of 340,1690 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5856,6980

LCM of Fractions 5856/340,6980/1690 is 1021872

2 5856, 6980
2 2928, 3490
1464, 1745

∴ So the LCM of the given numbers is 2 x 2 x 1464 x 1745 = 10218720

Least Common Multiple of 5856,6980 with GCF Formula

Least Common Multiple of 5856,6980 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 5856,6980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5856,6980) = 4

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

GCF(5856,6980) x common factors =4 x 1 = 4

LCM(5856,6980) = ( 5856 × 6980 ) / 4

LCM(5856,6980) = 40874880 / 4

LCM(5856,6980) = 10218720


Lets's calculate GCF of 340,1690

2 340, 1690
5 170, 845
34, 169

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10218720/10

Therefore the LCM of Fractions 5856/340,6980/1690 is 1021872

Greatest Common Factor of 340,1690 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,1690 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 1690

List of positive integer factors of 1690 that divides 1690 without a remainder.

1,2,5,10,13,26,65,130,169,338,845,1690

Greatest Common Factor

We found the factors 340,1690 . The biggest common factor number is the GCF number.
So the greatest common factor 340,1690 is 10.


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 5856/340, 6980/1690

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 5856/340, 6980/1690?

Answer: LCM of Numerators as per given numbers 5856/340, 6980/1690 is

LCM of Numerators i.e. for 5856,6980 is 10218720

GCF of denominators i.e. for 340,1690 is 10.

Thus, LCM of Fractions is 1021872.Finally, LCM of Fractions for 5856/340, 6980/1690 is 1021872.