Least Common Multiple of 8298/126, 8745/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8298/126, 8745/407 quickly i.e. 24188670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8298/126, 8745/407 is 24188670.

LCM(8298/126, 8745/407) = 24188670

LCM of 8298/126, 8745/407

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 8298/126,8745/407

Given numbers are 8298/126,8745/407

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 8298,8745

Least Common Multiple of Numerators i.e. LCM of 8298,8745 is 24188670.

GCF of Denominators means GCF of 126,407 as per the given fractions.

GCF of 126,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8298,8745

LCM of Fractions 8298/126,8745/407 is 24188670

3 8298, 8745
2766, 2915

∴ So the LCM of the given numbers is 3 x 2766 x 2915 = 24188670

Least Common Multiple of 8298,8745 with GCF Formula

Least Common Multiple of 8298,8745 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 8298,8745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8298,8745) = 3

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

GCF(8298,8745) x common factors =3 x 1 = 3

LCM(8298,8745) = ( 8298 × 8745 ) / 3

LCM(8298,8745) = 72566010 / 3

LCM(8298,8745) = 24188670


Lets's calculate GCF of 126,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24188670/1

Therefore the LCM of Fractions 8298/126,8745/407 is 24188670

Greatest Common Factor of 126,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,407 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 126,407 . The biggest common factor number is the GCF number.
So the greatest common factor 126,407 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8298/126, 8745/407

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 8298/126, 8745/407?

Answer: LCM of Numerators as per given numbers 8298/126, 8745/407 is

LCM of Numerators i.e. for 8298,8745 is 24188670

GCF of denominators i.e. for 126,407 is 1.

Thus, LCM of Fractions is 24188670.Finally, LCM of Fractions for 8298/126, 8745/407 is 24188670.