Least Common Multiple of 7926/210, 8035/7436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7926/210, 8035/7436 quickly i.e. 31842705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7926/210, 8035/7436 is 31842705.

LCM(7926/210, 8035/7436) = 31842705

LCM of 7926/210, 8035/7436

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 7926/210,8035/7436

Given numbers are 7926/210,8035/7436

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 7926,8035

Least Common Multiple of Numerators i.e. LCM of 7926,8035 is 63685410.

GCF of Denominators means GCF of 210,7436 as per the given fractions.

GCF of 210,7436 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7926,8035

LCM of Fractions 7926/210,8035/7436 is 31842705

Given numbers has no common factors except 1. So, there LCM is their product i.e 63685410

Least Common Multiple of 7926,8035 with GCF Formula

Least Common Multiple of 7926,8035 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 7926,8035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7926,8035) = 1

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

GCF(7926,8035) x common factors =1 x 1 = 1

LCM(7926,8035) = ( 7926 × 8035 ) / 1

LCM(7926,8035) = 63685410 / 1

LCM(7926,8035) = 63685410


Lets's calculate GCF of 210,7436

2 210, 7436
105, 3718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63685410/2

Therefore the LCM of Fractions 7926/210,8035/7436 is 31842705

Greatest Common Factor of 210,7436 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,7436 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 7436

List of positive integer factors of 7436 that divides 7436 without a remainder.

1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436

Greatest Common Factor

We found the factors 210,7436 . The biggest common factor number is the GCF number.
So the greatest common factor 210,7436 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7926/210, 8035/7436

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 7926/210, 8035/7436?

Answer: LCM of Numerators as per given numbers 7926/210, 8035/7436 is

LCM of Numerators i.e. for 7926,8035 is 63685410

GCF of denominators i.e. for 210,7436 is 2.

Thus, LCM of Fractions is 31842705.Finally, LCM of Fractions for 7926/210, 8035/7436 is 31842705.