Least Common Multiple of 1894/506, 6860/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1894/506, 6860/730 quickly i.e. 3248210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1894/506, 6860/730 is 3248210.

LCM(1894/506, 6860/730) = 3248210

LCM of 1894/506, 6860/730

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 1894/506,6860/730

Given numbers are 1894/506,6860/730

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 1894,6860

Least Common Multiple of Numerators i.e. LCM of 1894,6860 is 6496420.

GCF of Denominators means GCF of 506,730 as per the given fractions.

GCF of 506,730 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1894,6860

LCM of Fractions 1894/506,6860/730 is 3248210

2 1894, 6860
947, 3430

∴ So the LCM of the given numbers is 2 x 947 x 3430 = 6496420

Least Common Multiple of 1894,6860 with GCF Formula

Least Common Multiple of 1894,6860 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 1894,6860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1894,6860) = 2

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

GCF(1894,6860) x common factors =2 x 1 = 2

LCM(1894,6860) = ( 1894 × 6860 ) / 2

LCM(1894,6860) = 12992840 / 2

LCM(1894,6860) = 6496420


Lets's calculate GCF of 506,730

2 506, 730
253, 365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6496420/2

Therefore the LCM of Fractions 1894/506,6860/730 is 3248210

Greatest Common Factor of 506,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,730 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 506,730 . The biggest common factor number is the GCF number.
So the greatest common factor 506,730 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 1894/506, 6860/730

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 1894/506, 6860/730?

Answer: LCM of Numerators as per given numbers 1894/506, 6860/730 is

LCM of Numerators i.e. for 1894,6860 is 6496420

GCF of denominators i.e. for 506,730 is 2.

Thus, LCM of Fractions is 3248210.Finally, LCM of Fractions for 1894/506, 6860/730 is 3248210.