Least Common Multiple of 1600/634, 2148/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1600/634, 2148/604 quickly i.e. 429600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1600/634, 2148/604 is 429600.

LCM(1600/634, 2148/604) = 429600

LCM of 1600/634, 2148/604

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 1600/634,2148/604

Given numbers are 1600/634,2148/604

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 1600,2148

Least Common Multiple of Numerators i.e. LCM of 1600,2148 is 859200.

GCF of Denominators means GCF of 634,604 as per the given fractions.

GCF of 634,604 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1600,2148

LCM of Fractions 1600/634,2148/604 is 429600

2 1600, 2148
2 800, 1074
400, 537

∴ So the LCM of the given numbers is 2 x 2 x 400 x 537 = 859200

Least Common Multiple of 1600,2148 with GCF Formula

Least Common Multiple of 1600,2148 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 1600,2148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1600,2148) = 4

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

GCF(1600,2148) x common factors =4 x 1 = 4

LCM(1600,2148) = ( 1600 × 2148 ) / 4

LCM(1600,2148) = 3436800 / 4

LCM(1600,2148) = 859200


Lets's calculate GCF of 634,604

2 634, 604
317, 302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 859200/2

Therefore the LCM of Fractions 1600/634,2148/604 is 429600

Greatest Common Factor of 634,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,604 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 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 634,604 . The biggest common factor number is the GCF number.
So the greatest common factor 634,604 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 1600/634, 2148/604

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 1600/634, 2148/604?

Answer: LCM of Numerators as per given numbers 1600/634, 2148/604 is

LCM of Numerators i.e. for 1600,2148 is 859200

GCF of denominators i.e. for 634,604 is 2.

Thus, LCM of Fractions is 429600.Finally, LCM of Fractions for 1600/634, 2148/604 is 429600.