Least Common Multiple of 6900/950, 8685/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6900/950, 8685/634 quickly i.e. 1997550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6900/950, 8685/634 is 1997550.

LCM(6900/950, 8685/634) = 1997550

LCM of 6900/950, 8685/634

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 6900/950,8685/634

Given numbers are 6900/950,8685/634

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 6900,8685

Least Common Multiple of Numerators i.e. LCM of 6900,8685 is 3995100.

GCF of Denominators means GCF of 950,634 as per the given fractions.

GCF of 950,634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6900,8685

LCM of Fractions 6900/950,8685/634 is 1997550

3 6900, 8685
5 2300, 2895
460, 579

∴ So the LCM of the given numbers is 3 x 5 x 460 x 579 = 3995100

Least Common Multiple of 6900,8685 with GCF Formula

Least Common Multiple of 6900,8685 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 6900,8685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6900,8685) = 15

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

GCF(6900,8685) x common factors =15 x 1 = 15

LCM(6900,8685) = ( 6900 × 8685 ) / 15

LCM(6900,8685) = 59926500 / 15

LCM(6900,8685) = 3995100


Lets's calculate GCF of 950,634

2 950, 634
475, 317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3995100/2

Therefore the LCM of Fractions 6900/950,8685/634 is 1997550

Greatest Common Factor of 950,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,634 By Matching Biggest Common Factor Method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 634

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

1,2,317,634

Greatest Common Factor

We found the factors 950,634 . The biggest common factor number is the GCF number.
So the greatest common factor 950,634 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6900/950, 8685/634

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 6900/950, 8685/634?

Answer: LCM of Numerators as per given numbers 6900/950, 8685/634 is

LCM of Numerators i.e. for 6900,8685 is 3995100

GCF of denominators i.e. for 950,634 is 2.

Thus, LCM of Fractions is 1997550.Finally, LCM of Fractions for 6900/950, 8685/634 is 1997550.