Least Common Multiple of 4249/386, 3570/5610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4249/386, 3570/5610 quickly i.e. 1083495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4249/386, 3570/5610 is 1083495.

LCM(4249/386, 3570/5610) = 1083495

LCM of 4249/386, 3570/5610

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 4249/386,3570/5610

Given numbers are 4249/386,3570/5610

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 4249,3570

Least Common Multiple of Numerators i.e. LCM of 4249,3570 is 2166990.

GCF of Denominators means GCF of 386,5610 as per the given fractions.

GCF of 386,5610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4249,3570

LCM of Fractions 4249/386,3570/5610 is 1083495

7 4249, 3570
607, 510

∴ So the LCM of the given numbers is 7 x 607 x 510 = 2166990

Least Common Multiple of 4249,3570 with GCF Formula

Least Common Multiple of 4249,3570 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 4249,3570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4249,3570) = 7

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

GCF(4249,3570) x common factors =7 x 1 = 7

LCM(4249,3570) = ( 4249 × 3570 ) / 7

LCM(4249,3570) = 15168930 / 7

LCM(4249,3570) = 2166990


Lets's calculate GCF of 386,5610

2 386, 5610
193, 2805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2166990/2

Therefore the LCM of Fractions 4249/386,3570/5610 is 1083495

Greatest Common Factor of 386,5610 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,5610 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 5610

List of positive integer factors of 5610 that divides 5610 without a remainder.

1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610

Greatest Common Factor

We found the factors 386,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 386,5610 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4249/386, 3570/5610

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 4249/386, 3570/5610?

Answer: LCM of Numerators as per given numbers 4249/386, 3570/5610 is

LCM of Numerators i.e. for 4249,3570 is 2166990

GCF of denominators i.e. for 386,5610 is 2.

Thus, LCM of Fractions is 1083495.Finally, LCM of Fractions for 4249/386, 3570/5610 is 1083495.