Least Common Multiple of 5754/146, 9527/8088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5754/146, 9527/8088 quickly i.e. 3915597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5754/146, 9527/8088 is 3915597.

LCM(5754/146, 9527/8088) = 3915597

LCM of 5754/146, 9527/8088

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 5754/146,9527/8088

Given numbers are 5754/146,9527/8088

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 5754,9527

Least Common Multiple of Numerators i.e. LCM of 5754,9527 is 7831194.

GCF of Denominators means GCF of 146,8088 as per the given fractions.

GCF of 146,8088 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5754,9527

LCM of Fractions 5754/146,9527/8088 is 3915597

7 5754, 9527
822, 1361

∴ So the LCM of the given numbers is 7 x 822 x 1361 = 7831194

Least Common Multiple of 5754,9527 with GCF Formula

Least Common Multiple of 5754,9527 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 5754,9527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5754,9527) = 7

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

GCF(5754,9527) x common factors =7 x 1 = 7

LCM(5754,9527) = ( 5754 × 9527 ) / 7

LCM(5754,9527) = 54818358 / 7

LCM(5754,9527) = 7831194


Lets's calculate GCF of 146,8088

2 146, 8088
73, 4044

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7831194/2

Therefore the LCM of Fractions 5754/146,9527/8088 is 3915597

Greatest Common Factor of 146,8088 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,8088 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 8088

List of positive integer factors of 8088 that divides 8088 without a remainder.

1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088

Greatest Common Factor

We found the factors 146,8088 . The biggest common factor number is the GCF number.
So the greatest common factor 146,8088 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5754/146, 9527/8088

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 5754/146, 9527/8088?

Answer: LCM of Numerators as per given numbers 5754/146, 9527/8088 is

LCM of Numerators i.e. for 5754,9527 is 7831194

GCF of denominators i.e. for 146,8088 is 2.

Thus, LCM of Fractions is 3915597.Finally, LCM of Fractions for 5754/146, 9527/8088 is 3915597.