Least Common Multiple of 708/826, 8608/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 708/826, 8608/146 quickly i.e. 761808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/826, 8608/146 is 761808.

LCM(708/826, 8608/146) = 761808

LCM of 708/826, 8608/146

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 708/826,8608/146

Given numbers are 708/826,8608/146

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 708,8608

Least Common Multiple of Numerators i.e. LCM of 708,8608 is 1523616.

GCF of Denominators means GCF of 826,146 as per the given fractions.

GCF of 826,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,8608

LCM of Fractions 708/826,8608/146 is 761808

2 708, 8608
2 354, 4304
177, 2152

∴ So the LCM of the given numbers is 2 x 2 x 177 x 2152 = 1523616

Least Common Multiple of 708,8608 with GCF Formula

Least Common Multiple of 708,8608 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 708,8608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,8608) = 4

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

GCF(708,8608) x common factors =4 x 1 = 4

LCM(708,8608) = ( 708 × 8608 ) / 4

LCM(708,8608) = 6094464 / 4

LCM(708,8608) = 1523616


Lets's calculate GCF of 826,146

2 826, 146
413, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1523616/2

Therefore the LCM of Fractions 708/826,8608/146 is 761808

Greatest Common Factor of 826,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,146 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 826,146 . The biggest common factor number is the GCF number.
So the greatest common factor 826,146 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 708/826, 8608/146

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 708/826, 8608/146?

Answer: LCM of Numerators as per given numbers 708/826, 8608/146 is

LCM of Numerators i.e. for 708,8608 is 1523616

GCF of denominators i.e. for 826,146 is 2.

Thus, LCM of Fractions is 761808.Finally, LCM of Fractions for 708/826, 8608/146 is 761808.