Least Common Multiple of 755/880, 2075/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 755/880, 2075/918 quickly i.e. 313325/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 755/880, 2075/918 is 313325/2.

LCM(755/880, 2075/918) = 313325/2

LCM of 755/880, 2075/918

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 755/880,2075/918

Given numbers are 755/880,2075/918

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 755,2075

Least Common Multiple of Numerators i.e. LCM of 755,2075 is 313325.

GCF of Denominators means GCF of 880,918 as per the given fractions.

GCF of 880,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 755,2075

LCM of Fractions 755/880,2075/918 is 313325/2

5 755, 2075
151, 415

∴ So the LCM of the given numbers is 5 x 151 x 415 = 313325

Least Common Multiple of 755,2075 with GCF Formula

Least Common Multiple of 755,2075 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 755,2075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,2075) = 5

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

GCF(755,2075) x common factors =5 x 1 = 5

LCM(755,2075) = ( 755 × 2075 ) / 5

LCM(755,2075) = 1566625 / 5

LCM(755,2075) = 313325


Lets's calculate GCF of 880,918

2 880, 918
440, 459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313325/2

Therefore the LCM of Fractions 755/880,2075/918 is 313325/2

Greatest Common Factor of 880,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,918 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 880,918 . The biggest common factor number is the GCF number.
So the greatest common factor 880,918 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 755/880, 2075/918

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 755/880, 2075/918?

Answer: LCM of Numerators as per given numbers 755/880, 2075/918 is

LCM of Numerators i.e. for 755,2075 is 313325

GCF of denominators i.e. for 880,918 is 2.

Thus, LCM of Fractions is 313325/2.Finally, LCM of Fractions for 755/880, 2075/918 is 313325/2.