Least Common Multiple of 353/421, 1664/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 353/421, 1664/964 quickly i.e. 587392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 353/421, 1664/964 is 587392.

LCM(353/421, 1664/964) = 587392

LCM of 353/421, 1664/964

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 353/421,1664/964

Given numbers are 353/421,1664/964

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 353,1664

Least Common Multiple of Numerators i.e. LCM of 353,1664 is 587392.

GCF of Denominators means GCF of 421,964 as per the given fractions.

GCF of 421,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 353,1664

LCM of Fractions 353/421,1664/964 is 587392

Given numbers has no common factors except 1. So, there LCM is their product i.e 587392

Least Common Multiple of 353,1664 with GCF Formula

Least Common Multiple of 353,1664 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 353,1664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,1664) = 1

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

GCF(353,1664) x common factors =1 x 1 = 1

LCM(353,1664) = ( 353 × 1664 ) / 1

LCM(353,1664) = 587392 / 1

LCM(353,1664) = 587392


Lets's calculate GCF of 421,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 587392/1

Therefore the LCM of Fractions 353/421,1664/964 is 587392

Greatest Common Factor of 421,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,964 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 421,964 . The biggest common factor number is the GCF number.
So the greatest common factor 421,964 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 353/421, 1664/964

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 353/421, 1664/964?

Answer: LCM of Numerators as per given numbers 353/421, 1664/964 is

LCM of Numerators i.e. for 353,1664 is 587392

GCF of denominators i.e. for 421,964 is 1.

Thus, LCM of Fractions is 587392.Finally, LCM of Fractions for 353/421, 1664/964 is 587392.