Least Common Multiple of 7098/386, 2926/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7098/386, 2926/766 quickly i.e. 741741 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7098/386, 2926/766 is 741741.

LCM(7098/386, 2926/766) = 741741

LCM of 7098/386, 2926/766

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 7098/386,2926/766

Given numbers are 7098/386,2926/766

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 7098,2926

Least Common Multiple of Numerators i.e. LCM of 7098,2926 is 1483482.

GCF of Denominators means GCF of 386,766 as per the given fractions.

GCF of 386,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7098,2926

LCM of Fractions 7098/386,2926/766 is 741741

2 7098, 2926
7 3549, 1463
507, 209

∴ So the LCM of the given numbers is 2 x 7 x 507 x 209 = 1483482

Least Common Multiple of 7098,2926 with GCF Formula

Least Common Multiple of 7098,2926 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 7098,2926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7098,2926) = 14

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

GCF(7098,2926) x common factors =14 x 1 = 14

LCM(7098,2926) = ( 7098 × 2926 ) / 14

LCM(7098,2926) = 20768748 / 14

LCM(7098,2926) = 1483482


Lets's calculate GCF of 386,766

2 386, 766
193, 383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1483482/2

Therefore the LCM of Fractions 7098/386,2926/766 is 741741

Greatest Common Factor of 386,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,766 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 386,766 . The biggest common factor number is the GCF number.
So the greatest common factor 386,766 is 2.


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 7098/386, 2926/766

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 7098/386, 2926/766?

Answer: LCM of Numerators as per given numbers 7098/386, 2926/766 is

LCM of Numerators i.e. for 7098,2926 is 1483482

GCF of denominators i.e. for 386,766 is 2.

Thus, LCM of Fractions is 741741.Finally, LCM of Fractions for 7098/386, 2926/766 is 741741.