Least Common Multiple of 9100/153, 8632/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9100/153, 8632/114 quickly i.e. 1510600/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9100/153, 8632/114 is 1510600/3.

LCM(9100/153, 8632/114) = 1510600/3

LCM of 9100/153, 8632/114

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 9100/153,8632/114

Given numbers are 9100/153,8632/114

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 9100,8632

Least Common Multiple of Numerators i.e. LCM of 9100,8632 is 1510600.

GCF of Denominators means GCF of 153,114 as per the given fractions.

GCF of 153,114 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9100,8632

LCM of Fractions 9100/153,8632/114 is 1510600/3

2 9100, 8632
2 4550, 4316
13 2275, 2158
175, 166

∴ So the LCM of the given numbers is 2 x 2 x 13 x 175 x 166 = 1510600

Least Common Multiple of 9100,8632 with GCF Formula

Least Common Multiple of 9100,8632 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 9100,8632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9100,8632) = 52

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

GCF(9100,8632) x common factors =52 x 1 = 52

LCM(9100,8632) = ( 9100 × 8632 ) / 52

LCM(9100,8632) = 78551200 / 52

LCM(9100,8632) = 1510600


Lets's calculate GCF of 153,114

3 153, 114
51, 38

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1510600/3

Therefore the LCM of Fractions 9100/153,8632/114 is 1510600/3

Greatest Common Factor of 153,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,114 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 153,114 . The biggest common factor number is the GCF number.
So the greatest common factor 153,114 is 3.


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 9100/153, 8632/114

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 9100/153, 8632/114?

Answer: LCM of Numerators as per given numbers 9100/153, 8632/114 is

LCM of Numerators i.e. for 9100,8632 is 1510600

GCF of denominators i.e. for 153,114 is 3.

Thus, LCM of Fractions is 1510600/3.Finally, LCM of Fractions for 9100/153, 8632/114 is 1510600/3.