Least Common Multiple of 1895/949, 3300/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1895/949, 3300/730 quickly i.e. 1250700/73 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1895/949, 3300/730 is 1250700/73.

LCM(1895/949, 3300/730) = 1250700/73

LCM of 1895/949, 3300/730

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 1895/949,3300/730

Given numbers are 1895/949,3300/730

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 1895,3300

Least Common Multiple of Numerators i.e. LCM of 1895,3300 is 1250700.

GCF of Denominators means GCF of 949,730 as per the given fractions.

GCF of 949,730 is 73 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1895,3300

LCM of Fractions 1895/949,3300/730 is 1250700/73

5 1895, 3300
379, 660

∴ So the LCM of the given numbers is 5 x 379 x 660 = 1250700

Least Common Multiple of 1895,3300 with GCF Formula

Least Common Multiple of 1895,3300 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 1895,3300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1895,3300) = 5

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

GCF(1895,3300) x common factors =5 x 1 = 5

LCM(1895,3300) = ( 1895 × 3300 ) / 5

LCM(1895,3300) = 6253500 / 5

LCM(1895,3300) = 1250700


Lets's calculate GCF of 949,730

73 949, 730
13, 10

∴ So the GCF of the given numbers is 73 = 73

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1250700/73

Therefore the LCM of Fractions 1895/949,3300/730 is 1250700/73

Greatest Common Factor of 949,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,730 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

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 949,730 . The biggest common factor number is the GCF number.
So the greatest common factor 949,730 is 73.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1895/949, 3300/730

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 1895/949, 3300/730?

Answer: LCM of Numerators as per given numbers 1895/949, 3300/730 is

LCM of Numerators i.e. for 1895,3300 is 1250700

GCF of denominators i.e. for 949,730 is 73.

Thus, LCM of Fractions is 1250700/73.Finally, LCM of Fractions for 1895/949, 3300/730 is 1250700/73.