Least Common Multiple of 350/49, 571/59, 852/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 350/49, 571/59, 852/902 quickly i.e. 85136100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 350/49, 571/59, 852/902 is 85136100.

LCM(350/49, 571/59, 852/902) = 85136100

LCM of 350/49, 571/59, 852/902

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 350/49,571/59,852/902

Given numbers are 350/49,571/59,852/902

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 350,571,852

Least Common Multiple of Numerators i.e. LCM of 350,571,852 is 85136100.

GCF of Denominators means GCF of 49,59,902 as per the given fractions.

GCF of 49,59,902 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 350,571,852

LCM of Fractions 350/49,571/59,852/902 is 85136100

2 350, 571, 852
175, 571, 426

∴ So the LCM of the given numbers is 2 x 175 x 571 x 426 = 85136100

Least Common Multiple of 350,571,852 with GCF Formula

Least Common Multiple of 350,571,852 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 350,571,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,571,852) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(350,571,852) x common factors =1 x 2 = 2

LCM(350,571,852) = ( 350 × 571 × 852 ) / 2

LCM(350,571,852) = 170272200 / 2

LCM(350,571,852) = 85136100


Lets's calculate GCF of 49,59,902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85136100/1

Therefore the LCM of Fractions 350/49,571/59,852/902 is 85136100

Greatest Common Factor of 49,59,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,59,902 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 49,59,902 . The biggest common factor number is the GCF number.
So the greatest common factor 49,59,902 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 350/49, 571/59, 852/902

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 350/49, 571/59, 852/902?

Answer: LCM of Numerators as per given numbers 350/49, 571/59, 852/902 is

LCM of Numerators i.e. for 350,571,852 is 85136100

GCF of denominators i.e. for 49,59,902 is 1.

Thus, LCM of Fractions is 85136100.Finally, LCM of Fractions for 350/49, 571/59, 852/902 is 85136100.