Least Common Multiple of 1754/964, 4213/6349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1754/964, 4213/6349 quickly i.e. 7389602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1754/964, 4213/6349 is 7389602.

LCM(1754/964, 4213/6349) = 7389602

LCM of 1754/964, 4213/6349

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 1754/964,4213/6349

Given numbers are 1754/964,4213/6349

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 1754,4213

Least Common Multiple of Numerators i.e. LCM of 1754,4213 is 7389602.

GCF of Denominators means GCF of 964,6349 as per the given fractions.

GCF of 964,6349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1754,4213

LCM of Fractions 1754/964,4213/6349 is 7389602

Given numbers has no common factors except 1. So, there LCM is their product i.e 7389602

Least Common Multiple of 1754,4213 with GCF Formula

Least Common Multiple of 1754,4213 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 1754,4213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1754,4213) = 1

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

GCF(1754,4213) x common factors =1 x 1 = 1

LCM(1754,4213) = ( 1754 × 4213 ) / 1

LCM(1754,4213) = 7389602 / 1

LCM(1754,4213) = 7389602


Lets's calculate GCF of 964,6349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7389602/1

Therefore the LCM of Fractions 1754/964,4213/6349 is 7389602

Greatest Common Factor of 964,6349 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,6349 By Matching Biggest Common Factor Method

Factors of 964

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

1,2,4,241,482,964

Factors of 6349

List of positive integer factors of 6349 that divides 6349 without a remainder.

1,7,907,6349

Greatest Common Factor

We found the factors 964,6349 . The biggest common factor number is the GCF number.
So the greatest common factor 964,6349 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 1754/964, 4213/6349

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 1754/964, 4213/6349?

Answer: LCM of Numerators as per given numbers 1754/964, 4213/6349 is

LCM of Numerators i.e. for 1754,4213 is 7389602

GCF of denominators i.e. for 964,6349 is 1.

Thus, LCM of Fractions is 7389602.Finally, LCM of Fractions for 1754/964, 4213/6349 is 7389602.