Least Common Multiple of 1710/964, 4532/8877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1710/964, 4532/8877 quickly i.e. 3874860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1710/964, 4532/8877 is 3874860.

LCM(1710/964, 4532/8877) = 3874860

LCM of 1710/964, 4532/8877

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 1710/964,4532/8877

Given numbers are 1710/964,4532/8877

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 1710,4532

Least Common Multiple of Numerators i.e. LCM of 1710,4532 is 3874860.

GCF of Denominators means GCF of 964,8877 as per the given fractions.

GCF of 964,8877 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1710,4532

LCM of Fractions 1710/964,4532/8877 is 3874860

2 1710, 4532
855, 2266

∴ So the LCM of the given numbers is 2 x 855 x 2266 = 3874860

Least Common Multiple of 1710,4532 with GCF Formula

Least Common Multiple of 1710,4532 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 1710,4532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1710,4532) = 2

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

GCF(1710,4532) x common factors =2 x 1 = 2

LCM(1710,4532) = ( 1710 × 4532 ) / 2

LCM(1710,4532) = 7749720 / 2

LCM(1710,4532) = 3874860


Lets's calculate GCF of 964,8877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3874860/1

Therefore the LCM of Fractions 1710/964,4532/8877 is 3874860

Greatest Common Factor of 964,8877 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,8877 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 8877

List of positive integer factors of 8877 that divides 8877 without a remainder.

1,3,11,33,269,807,2959,8877

Greatest Common Factor

We found the factors 964,8877 . The biggest common factor number is the GCF number.
So the greatest common factor 964,8877 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1710/964, 4532/8877

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 1710/964, 4532/8877?

Answer: LCM of Numerators as per given numbers 1710/964, 4532/8877 is

LCM of Numerators i.e. for 1710,4532 is 3874860

GCF of denominators i.e. for 964,8877 is 1.

Thus, LCM of Fractions is 3874860.Finally, LCM of Fractions for 1710/964, 4532/8877 is 3874860.