Least Common Multiple of 1600/92, 2645/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1600/92, 2645/766 quickly i.e. 423200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1600/92, 2645/766 is 423200.

LCM(1600/92, 2645/766) = 423200

LCM of 1600/92, 2645/766

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 1600/92,2645/766

Given numbers are 1600/92,2645/766

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 1600,2645

Least Common Multiple of Numerators i.e. LCM of 1600,2645 is 846400.

GCF of Denominators means GCF of 92,766 as per the given fractions.

GCF of 92,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1600,2645

LCM of Fractions 1600/92,2645/766 is 423200

5 1600, 2645
320, 529

∴ So the LCM of the given numbers is 5 x 320 x 529 = 846400

Least Common Multiple of 1600,2645 with GCF Formula

Least Common Multiple of 1600,2645 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 1600,2645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1600,2645) = 5

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

GCF(1600,2645) x common factors =5 x 1 = 5

LCM(1600,2645) = ( 1600 × 2645 ) / 5

LCM(1600,2645) = 4232000 / 5

LCM(1600,2645) = 846400


Lets's calculate GCF of 92,766

2 92, 766
46, 383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 846400/2

Therefore the LCM of Fractions 1600/92,2645/766 is 423200

Greatest Common Factor of 92,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,766 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 92,766 . The biggest common factor number is the GCF number.
So the greatest common factor 92,766 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 1600/92, 2645/766

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 1600/92, 2645/766?

Answer: LCM of Numerators as per given numbers 1600/92, 2645/766 is

LCM of Numerators i.e. for 1600,2645 is 846400

GCF of denominators i.e. for 92,766 is 2.

Thus, LCM of Fractions is 423200.Finally, LCM of Fractions for 1600/92, 2645/766 is 423200.