Least Common Multiple of 754/152, 1055/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 754/152, 1055/741 quickly i.e. 795470/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/152, 1055/741 is 795470/19.

LCM(754/152, 1055/741) = 795470/19

LCM of 754/152, 1055/741

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 754/152,1055/741

Given numbers are 754/152,1055/741

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 754,1055

Least Common Multiple of Numerators i.e. LCM of 754,1055 is 795470.

GCF of Denominators means GCF of 152,741 as per the given fractions.

GCF of 152,741 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,1055

LCM of Fractions 754/152,1055/741 is 795470/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 795470

Least Common Multiple of 754,1055 with GCF Formula

Least Common Multiple of 754,1055 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 754,1055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,1055) = 1

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

GCF(754,1055) x common factors =1 x 1 = 1

LCM(754,1055) = ( 754 × 1055 ) / 1

LCM(754,1055) = 795470 / 1

LCM(754,1055) = 795470


Lets's calculate GCF of 152,741

19 152, 741
8, 39

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 795470/19

Therefore the LCM of Fractions 754/152,1055/741 is 795470/19

Greatest Common Factor of 152,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,741 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 152,741 . The biggest common factor number is the GCF number.
So the greatest common factor 152,741 is 19.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 754/152, 1055/741

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 754/152, 1055/741?

Answer: LCM of Numerators as per given numbers 754/152, 1055/741 is

LCM of Numerators i.e. for 754,1055 is 795470

GCF of denominators i.e. for 152,741 is 19.

Thus, LCM of Fractions is 795470/19.Finally, LCM of Fractions for 754/152, 1055/741 is 795470/19.