Least Common Multiple of 145/957, 8484/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 145/957, 8484/120 quickly i.e. 410060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 145/957, 8484/120 is 410060.

LCM(145/957, 8484/120) = 410060

LCM of 145/957, 8484/120

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 145/957,8484/120

Given numbers are 145/957,8484/120

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 145,8484

Least Common Multiple of Numerators i.e. LCM of 145,8484 is 1230180.

GCF of Denominators means GCF of 957,120 as per the given fractions.

GCF of 957,120 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 145,8484

LCM of Fractions 145/957,8484/120 is 410060

Given numbers has no common factors except 1. So, there LCM is their product i.e 1230180

Least Common Multiple of 145,8484 with GCF Formula

Least Common Multiple of 145,8484 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 145,8484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,8484) = 1

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

GCF(145,8484) x common factors =1 x 1 = 1

LCM(145,8484) = ( 145 × 8484 ) / 1

LCM(145,8484) = 1230180 / 1

LCM(145,8484) = 1230180


Lets's calculate GCF of 957,120

3 957, 120
319, 40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1230180/3

Therefore the LCM of Fractions 145/957,8484/120 is 410060

Greatest Common Factor of 957,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,120 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 957,120 . The biggest common factor number is the GCF number.
So the greatest common factor 957,120 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 145/957, 8484/120

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 145/957, 8484/120?

Answer: LCM of Numerators as per given numbers 145/957, 8484/120 is

LCM of Numerators i.e. for 145,8484 is 1230180

GCF of denominators i.e. for 957,120 is 3.

Thus, LCM of Fractions is 410060.Finally, LCM of Fractions for 145/957, 8484/120 is 410060.