Least Common Multiple of 1800/938, 2804/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1800/938, 2804/688 quickly i.e. 630900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1800/938, 2804/688 is 630900.

LCM(1800/938, 2804/688) = 630900

LCM of 1800/938, 2804/688

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 1800/938,2804/688

Given numbers are 1800/938,2804/688

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 1800,2804

Least Common Multiple of Numerators i.e. LCM of 1800,2804 is 1261800.

GCF of Denominators means GCF of 938,688 as per the given fractions.

GCF of 938,688 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1800,2804

LCM of Fractions 1800/938,2804/688 is 630900

2 1800, 2804
2 900, 1402
450, 701

∴ So the LCM of the given numbers is 2 x 2 x 450 x 701 = 1261800

Least Common Multiple of 1800,2804 with GCF Formula

Least Common Multiple of 1800,2804 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 1800,2804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1800,2804) = 4

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

GCF(1800,2804) x common factors =4 x 1 = 4

LCM(1800,2804) = ( 1800 × 2804 ) / 4

LCM(1800,2804) = 5047200 / 4

LCM(1800,2804) = 1261800


Lets's calculate GCF of 938,688

2 938, 688
469, 344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1261800/2

Therefore the LCM of Fractions 1800/938,2804/688 is 630900

Greatest Common Factor of 938,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,688 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 938,688 . The biggest common factor number is the GCF number.
So the greatest common factor 938,688 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 1800/938, 2804/688

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 1800/938, 2804/688?

Answer: LCM of Numerators as per given numbers 1800/938, 2804/688 is

LCM of Numerators i.e. for 1800,2804 is 1261800

GCF of denominators i.e. for 938,688 is 2.

Thus, LCM of Fractions is 630900.Finally, LCM of Fractions for 1800/938, 2804/688 is 630900.