Least Common Multiple of 70/350, 2196/1987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/350, 2196/1987 quickly i.e. 76860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/350, 2196/1987 is 76860.

LCM(70/350, 2196/1987) = 76860

LCM of 70/350, 2196/1987

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 70/350,2196/1987

Given numbers are 70/350,2196/1987

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 70,2196

Least Common Multiple of Numerators i.e. LCM of 70,2196 is 76860.

GCF of Denominators means GCF of 350,1987 as per the given fractions.

GCF of 350,1987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,2196

LCM of Fractions 70/350,2196/1987 is 76860

2 70, 2196
35, 1098

∴ So the LCM of the given numbers is 2 x 35 x 1098 = 76860

Least Common Multiple of 70,2196 with GCF Formula

Least Common Multiple of 70,2196 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 70,2196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,2196) = 2

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

GCF(70,2196) x common factors =2 x 1 = 2

LCM(70,2196) = ( 70 × 2196 ) / 2

LCM(70,2196) = 153720 / 2

LCM(70,2196) = 76860


Lets's calculate GCF of 350,1987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76860/1

Therefore the LCM of Fractions 70/350,2196/1987 is 76860

Greatest Common Factor of 350,1987 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,1987 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 1987

List of positive integer factors of 1987 that divides 1987 without a remainder.

1,1987

Greatest Common Factor

We found the factors 350,1987 . The biggest common factor number is the GCF number.
So the greatest common factor 350,1987 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 70/350, 2196/1987

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 70/350, 2196/1987?

Answer: LCM of Numerators as per given numbers 70/350, 2196/1987 is

LCM of Numerators i.e. for 70,2196 is 76860

GCF of denominators i.e. for 350,1987 is 1.

Thus, LCM of Fractions is 76860.Finally, LCM of Fractions for 70/350, 2196/1987 is 76860.