Least Common Multiple of 755/34, 115/8952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 755/34, 115/8952 quickly i.e. 17365/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 755/34, 115/8952 is 17365/2.

LCM(755/34, 115/8952) = 17365/2

LCM of 755/34, 115/8952

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 755/34,115/8952

Given numbers are 755/34,115/8952

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 755,115

Least Common Multiple of Numerators i.e. LCM of 755,115 is 17365.

GCF of Denominators means GCF of 34,8952 as per the given fractions.

GCF of 34,8952 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 755,115

LCM of Fractions 755/34,115/8952 is 17365/2

5 755, 115
151, 23

∴ So the LCM of the given numbers is 5 x 151 x 23 = 17365

Least Common Multiple of 755,115 with GCF Formula

Least Common Multiple of 755,115 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 755,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,115) = 5

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

GCF(755,115) x common factors =5 x 1 = 5

LCM(755,115) = ( 755 × 115 ) / 5

LCM(755,115) = 86825 / 5

LCM(755,115) = 17365


Lets's calculate GCF of 34,8952

2 34, 8952
17, 4476

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17365/2

Therefore the LCM of Fractions 755/34,115/8952 is 17365/2

Greatest Common Factor of 34,8952 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,8952 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952

Greatest Common Factor

We found the factors 34,8952 . The biggest common factor number is the GCF number.
So the greatest common factor 34,8952 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 755/34, 115/8952

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 755/34, 115/8952?

Answer: LCM of Numerators as per given numbers 755/34, 115/8952 is

LCM of Numerators i.e. for 755,115 is 17365

GCF of denominators i.e. for 34,8952 is 2.

Thus, LCM of Fractions is 17365/2.Finally, LCM of Fractions for 755/34, 115/8952 is 17365/2.