Least Common Multiple of 7426/846, 8290/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7426/846, 8290/104 quickly i.e. 15390385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7426/846, 8290/104 is 15390385.

LCM(7426/846, 8290/104) = 15390385

LCM of 7426/846, 8290/104

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 7426/846,8290/104

Given numbers are 7426/846,8290/104

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 7426,8290

Least Common Multiple of Numerators i.e. LCM of 7426,8290 is 30780770.

GCF of Denominators means GCF of 846,104 as per the given fractions.

GCF of 846,104 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7426,8290

LCM of Fractions 7426/846,8290/104 is 15390385

2 7426, 8290
3713, 4145

∴ So the LCM of the given numbers is 2 x 3713 x 4145 = 30780770

Least Common Multiple of 7426,8290 with GCF Formula

Least Common Multiple of 7426,8290 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 7426,8290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7426,8290) = 2

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

GCF(7426,8290) x common factors =2 x 1 = 2

LCM(7426,8290) = ( 7426 × 8290 ) / 2

LCM(7426,8290) = 61561540 / 2

LCM(7426,8290) = 30780770


Lets's calculate GCF of 846,104

2 846, 104
423, 52

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30780770/2

Therefore the LCM of Fractions 7426/846,8290/104 is 15390385

Greatest Common Factor of 846,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,104 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 846,104 . The biggest common factor number is the GCF number.
So the greatest common factor 846,104 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 7426/846, 8290/104

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 7426/846, 8290/104?

Answer: LCM of Numerators as per given numbers 7426/846, 8290/104 is

LCM of Numerators i.e. for 7426,8290 is 30780770

GCF of denominators i.e. for 846,104 is 2.

Thus, LCM of Fractions is 15390385.Finally, LCM of Fractions for 7426/846, 8290/104 is 15390385.