Least Common Multiple of 550/760, 3896/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 550/760, 3896/360 quickly i.e. 26785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/760, 3896/360 is 26785.

LCM(550/760, 3896/360) = 26785

LCM of 550/760, 3896/360

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 550/760,3896/360

Given numbers are 550/760,3896/360

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 550,3896

Least Common Multiple of Numerators i.e. LCM of 550,3896 is 1071400.

GCF of Denominators means GCF of 760,360 as per the given fractions.

GCF of 760,360 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,3896

LCM of Fractions 550/760,3896/360 is 26785

2 550, 3896
275, 1948

∴ So the LCM of the given numbers is 2 x 275 x 1948 = 1071400

Least Common Multiple of 550,3896 with GCF Formula

Least Common Multiple of 550,3896 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 550,3896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,3896) = 2

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

GCF(550,3896) x common factors =2 x 1 = 2

LCM(550,3896) = ( 550 × 3896 ) / 2

LCM(550,3896) = 2142800 / 2

LCM(550,3896) = 1071400


Lets's calculate GCF of 760,360

2 760, 360
2 380, 180
2 190, 90
5 95, 45
19, 9

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1071400/40

Therefore the LCM of Fractions 550/760,3896/360 is 26785

Greatest Common Factor of 760,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,360 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 760,360 . The biggest common factor number is the GCF number.
So the greatest common factor 760,360 is 40.


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 550/760, 3896/360

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 550/760, 3896/360?

Answer: LCM of Numerators as per given numbers 550/760, 3896/360 is

LCM of Numerators i.e. for 550,3896 is 1071400

GCF of denominators i.e. for 760,360 is 40.

Thus, LCM of Fractions is 26785.Finally, LCM of Fractions for 550/760, 3896/360 is 26785.