Least Common Multiple of 650/870, 3848/2850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 650/870, 3848/2850 quickly i.e. 96200/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 650/870, 3848/2850 is 96200/30.

LCM(650/870, 3848/2850) = 96200/30

LCM of 650/870, 3848/2850

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 650/870,3848/2850

Given numbers are 650/870,3848/2850

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 650,3848

Least Common Multiple of Numerators i.e. LCM of 650,3848 is 96200.

GCF of Denominators means GCF of 870,2850 as per the given fractions.

GCF of 870,2850 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 650,3848

LCM of Fractions 650/870,3848/2850 is 96200/30

2 650, 3848
13 325, 1924
25, 148

∴ So the LCM of the given numbers is 2 x 13 x 25 x 148 = 96200

Least Common Multiple of 650,3848 with GCF Formula

Least Common Multiple of 650,3848 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 650,3848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,3848) = 26

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

GCF(650,3848) x common factors =26 x 1 = 26

LCM(650,3848) = ( 650 × 3848 ) / 26

LCM(650,3848) = 2501200 / 26

LCM(650,3848) = 96200


Lets's calculate GCF of 870,2850

2 870, 2850
3 435, 1425
5 145, 475
29, 95

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96200/30

Therefore the LCM of Fractions 650/870,3848/2850 is 96200/30

Greatest Common Factor of 870,2850 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,2850 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 2850

List of positive integer factors of 2850 that divides 2850 without a remainder.

1,2,3,5,6,10,15,19,25,30,38,50,57,75,95,114,150,190,285,475,570,950,1425,2850

Greatest Common Factor

We found the factors 870,2850 . The biggest common factor number is the GCF number.
So the greatest common factor 870,2850 is 30.


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 650/870, 3848/2850

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 650/870, 3848/2850?

Answer: LCM of Numerators as per given numbers 650/870, 3848/2850 is

LCM of Numerators i.e. for 650,3848 is 96200

GCF of denominators i.e. for 870,2850 is 30.

Thus, LCM of Fractions is 96200/30.Finally, LCM of Fractions for 650/870, 3848/2850 is 96200/30.