Least Common Multiple of 1508/434, 1230/1699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1508/434, 1230/1699 quickly i.e. 927420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1508/434, 1230/1699 is 927420.

LCM(1508/434, 1230/1699) = 927420

LCM of 1508/434, 1230/1699

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 1508/434,1230/1699

Given numbers are 1508/434,1230/1699

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 1508,1230

Least Common Multiple of Numerators i.e. LCM of 1508,1230 is 927420.

GCF of Denominators means GCF of 434,1699 as per the given fractions.

GCF of 434,1699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1508,1230

LCM of Fractions 1508/434,1230/1699 is 927420

2 1508, 1230
754, 615

∴ So the LCM of the given numbers is 2 x 754 x 615 = 927420

Least Common Multiple of 1508,1230 with GCF Formula

Least Common Multiple of 1508,1230 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 1508,1230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1508,1230) = 2

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

GCF(1508,1230) x common factors =2 x 1 = 2

LCM(1508,1230) = ( 1508 × 1230 ) / 2

LCM(1508,1230) = 1854840 / 2

LCM(1508,1230) = 927420


Lets's calculate GCF of 434,1699

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 927420/1

Therefore the LCM of Fractions 1508/434,1230/1699 is 927420

Greatest Common Factor of 434,1699 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,1699 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 1699

List of positive integer factors of 1699 that divides 1699 without a remainder.

1,1699

Greatest Common Factor

We found the factors 434,1699 . The biggest common factor number is the GCF number.
So the greatest common factor 434,1699 is 1.


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 1508/434, 1230/1699

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 1508/434, 1230/1699?

Answer: LCM of Numerators as per given numbers 1508/434, 1230/1699 is

LCM of Numerators i.e. for 1508,1230 is 927420

GCF of denominators i.e. for 434,1699 is 1.

Thus, LCM of Fractions is 927420.Finally, LCM of Fractions for 1508/434, 1230/1699 is 927420.