Least Common Multiple of 595/634, 5905/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 595/634, 5905/708 quickly i.e. 702695/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 595/634, 5905/708 is 702695/2.

LCM(595/634, 5905/708) = 702695/2

LCM of 595/634, 5905/708

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 595/634,5905/708

Given numbers are 595/634,5905/708

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 595,5905

Least Common Multiple of Numerators i.e. LCM of 595,5905 is 702695.

GCF of Denominators means GCF of 634,708 as per the given fractions.

GCF of 634,708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 595,5905

LCM of Fractions 595/634,5905/708 is 702695/2

5 595, 5905
119, 1181

∴ So the LCM of the given numbers is 5 x 119 x 1181 = 702695

Least Common Multiple of 595,5905 with GCF Formula

Least Common Multiple of 595,5905 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 595,5905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,5905) = 5

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

GCF(595,5905) x common factors =5 x 1 = 5

LCM(595,5905) = ( 595 × 5905 ) / 5

LCM(595,5905) = 3513475 / 5

LCM(595,5905) = 702695


Lets's calculate GCF of 634,708

2 634, 708
317, 354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 702695/2

Therefore the LCM of Fractions 595/634,5905/708 is 702695/2

Greatest Common Factor of 634,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,708 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 634,708 . The biggest common factor number is the GCF number.
So the greatest common factor 634,708 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 595/634, 5905/708

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 595/634, 5905/708?

Answer: LCM of Numerators as per given numbers 595/634, 5905/708 is

LCM of Numerators i.e. for 595,5905 is 702695

GCF of denominators i.e. for 634,708 is 2.

Thus, LCM of Fractions is 702695/2.Finally, LCM of Fractions for 595/634, 5905/708 is 702695/2.