Least Common Multiple of 9748/525, 3865/1864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9748/525, 3865/1864 quickly i.e. 37676020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9748/525, 3865/1864 is 37676020.

LCM(9748/525, 3865/1864) = 37676020

LCM of 9748/525, 3865/1864

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 9748/525,3865/1864

Given numbers are 9748/525,3865/1864

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 9748,3865

Least Common Multiple of Numerators i.e. LCM of 9748,3865 is 37676020.

GCF of Denominators means GCF of 525,1864 as per the given fractions.

GCF of 525,1864 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9748,3865

LCM of Fractions 9748/525,3865/1864 is 37676020

Given numbers has no common factors except 1. So, there LCM is their product i.e 37676020

Least Common Multiple of 9748,3865 with GCF Formula

Least Common Multiple of 9748,3865 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 9748,3865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9748,3865) = 1

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

GCF(9748,3865) x common factors =1 x 1 = 1

LCM(9748,3865) = ( 9748 × 3865 ) / 1

LCM(9748,3865) = 37676020 / 1

LCM(9748,3865) = 37676020


Lets's calculate GCF of 525,1864

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37676020/1

Therefore the LCM of Fractions 9748/525,3865/1864 is 37676020

Greatest Common Factor of 525,1864 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,1864 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 1864

List of positive integer factors of 1864 that divides 1864 without a remainder.

1,2,4,8,233,466,932,1864

Greatest Common Factor

We found the factors 525,1864 . The biggest common factor number is the GCF number.
So the greatest common factor 525,1864 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9748/525, 3865/1864

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 9748/525, 3865/1864?

Answer: LCM of Numerators as per given numbers 9748/525, 3865/1864 is

LCM of Numerators i.e. for 9748,3865 is 37676020

GCF of denominators i.e. for 525,1864 is 1.

Thus, LCM of Fractions is 37676020.Finally, LCM of Fractions for 9748/525, 3865/1864 is 37676020.