Least Common Multiple of 695/945, 2568/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 695/945, 2568/200 quickly i.e. 356952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 695/945, 2568/200 is 356952.

LCM(695/945, 2568/200) = 356952

LCM of 695/945, 2568/200

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 695/945,2568/200

Given numbers are 695/945,2568/200

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 695,2568

Least Common Multiple of Numerators i.e. LCM of 695,2568 is 1784760.

GCF of Denominators means GCF of 945,200 as per the given fractions.

GCF of 945,200 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 695,2568

LCM of Fractions 695/945,2568/200 is 356952

Given numbers has no common factors except 1. So, there LCM is their product i.e 1784760

Least Common Multiple of 695,2568 with GCF Formula

Least Common Multiple of 695,2568 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 695,2568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,2568) = 1

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

GCF(695,2568) x common factors =1 x 1 = 1

LCM(695,2568) = ( 695 × 2568 ) / 1

LCM(695,2568) = 1784760 / 1

LCM(695,2568) = 1784760


Lets's calculate GCF of 945,200

5 945, 200
189, 40

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1784760/5

Therefore the LCM of Fractions 695/945,2568/200 is 356952

Greatest Common Factor of 945,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,200 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 945,200 . The biggest common factor number is the GCF number.
So the greatest common factor 945,200 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 695/945, 2568/200

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 695/945, 2568/200?

Answer: LCM of Numerators as per given numbers 695/945, 2568/200 is

LCM of Numerators i.e. for 695,2568 is 1784760

GCF of denominators i.e. for 945,200 is 5.

Thus, LCM of Fractions is 356952.Finally, LCM of Fractions for 695/945, 2568/200 is 356952.