Least Common Multiple of 6820/58, 5920/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6820/58, 5920/850 quickly i.e. 1009360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6820/58, 5920/850 is 1009360.

LCM(6820/58, 5920/850) = 1009360

LCM of 6820/58, 5920/850

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 6820/58,5920/850

Given numbers are 6820/58,5920/850

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 6820,5920

Least Common Multiple of Numerators i.e. LCM of 6820,5920 is 2018720.

GCF of Denominators means GCF of 58,850 as per the given fractions.

GCF of 58,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6820,5920

LCM of Fractions 6820/58,5920/850 is 1009360

2 6820, 5920
2 3410, 2960
5 1705, 1480
341, 296

∴ So the LCM of the given numbers is 2 x 2 x 5 x 341 x 296 = 2018720

Least Common Multiple of 6820,5920 with GCF Formula

Least Common Multiple of 6820,5920 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 6820,5920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6820,5920) = 20

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

GCF(6820,5920) x common factors =20 x 1 = 20

LCM(6820,5920) = ( 6820 × 5920 ) / 20

LCM(6820,5920) = 40374400 / 20

LCM(6820,5920) = 2018720


Lets's calculate GCF of 58,850

2 58, 850
29, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2018720/2

Therefore the LCM of Fractions 6820/58,5920/850 is 1009360

Greatest Common Factor of 58,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,850 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 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 58,850 . The biggest common factor number is the GCF number.
So the greatest common factor 58,850 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 6820/58, 5920/850

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 6820/58, 5920/850?

Answer: LCM of Numerators as per given numbers 6820/58, 5920/850 is

LCM of Numerators i.e. for 6820,5920 is 2018720

GCF of denominators i.e. for 58,850 is 2.

Thus, LCM of Fractions is 1009360.Finally, LCM of Fractions for 6820/58, 5920/850 is 1009360.