Least Common Multiple of 68/270, 1946/6380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/270, 1946/6380 quickly i.e. 66164/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/270, 1946/6380 is 66164/10.

LCM(68/270, 1946/6380) = 66164/10

LCM of 68/270, 1946/6380

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 68/270,1946/6380

Given numbers are 68/270,1946/6380

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 68,1946

Least Common Multiple of Numerators i.e. LCM of 68,1946 is 66164.

GCF of Denominators means GCF of 270,6380 as per the given fractions.

GCF of 270,6380 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,1946

LCM of Fractions 68/270,1946/6380 is 66164/10

2 68, 1946
34, 973

∴ So the LCM of the given numbers is 2 x 34 x 973 = 66164

Least Common Multiple of 68,1946 with GCF Formula

Least Common Multiple of 68,1946 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 68,1946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,1946) = 2

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

GCF(68,1946) x common factors =2 x 1 = 2

LCM(68,1946) = ( 68 × 1946 ) / 2

LCM(68,1946) = 132328 / 2

LCM(68,1946) = 66164


Lets's calculate GCF of 270,6380

2 270, 6380
5 135, 3190
27, 638

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66164/10

Therefore the LCM of Fractions 68/270,1946/6380 is 66164/10

Greatest Common Factor of 270,6380 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,6380 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380

Greatest Common Factor

We found the factors 270,6380 . The biggest common factor number is the GCF number.
So the greatest common factor 270,6380 is 10.


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 68/270, 1946/6380

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 68/270, 1946/6380?

Answer: LCM of Numerators as per given numbers 68/270, 1946/6380 is

LCM of Numerators i.e. for 68,1946 is 66164

GCF of denominators i.e. for 270,6380 is 10.

Thus, LCM of Fractions is 66164/10.Finally, LCM of Fractions for 68/270, 1946/6380 is 66164/10.