Least Common Multiple of 1748/820, 6164/4111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1748/820, 6164/4111 quickly i.e. 117116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1748/820, 6164/4111 is 117116.

LCM(1748/820, 6164/4111) = 117116

LCM of 1748/820, 6164/4111

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 1748/820,6164/4111

Given numbers are 1748/820,6164/4111

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 1748,6164

Least Common Multiple of Numerators i.e. LCM of 1748,6164 is 117116.

GCF of Denominators means GCF of 820,4111 as per the given fractions.

GCF of 820,4111 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1748,6164

LCM of Fractions 1748/820,6164/4111 is 117116

2 1748, 6164
2 874, 3082
23 437, 1541
19, 67

∴ So the LCM of the given numbers is 2 x 2 x 23 x 19 x 67 = 117116

Least Common Multiple of 1748,6164 with GCF Formula

Least Common Multiple of 1748,6164 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 1748,6164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1748,6164) = 92

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

GCF(1748,6164) x common factors =92 x 1 = 92

LCM(1748,6164) = ( 1748 × 6164 ) / 92

LCM(1748,6164) = 10774672 / 92

LCM(1748,6164) = 117116


Lets's calculate GCF of 820,4111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117116/1

Therefore the LCM of Fractions 1748/820,6164/4111 is 117116

Greatest Common Factor of 820,4111 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,4111 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 4111

List of positive integer factors of 4111 that divides 4111 without a remainder.

1,4111

Greatest Common Factor

We found the factors 820,4111 . The biggest common factor number is the GCF number.
So the greatest common factor 820,4111 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 1748/820, 6164/4111

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 1748/820, 6164/4111?

Answer: LCM of Numerators as per given numbers 1748/820, 6164/4111 is

LCM of Numerators i.e. for 1748,6164 is 117116

GCF of denominators i.e. for 820,4111 is 1.

Thus, LCM of Fractions is 117116.Finally, LCM of Fractions for 1748/820, 6164/4111 is 117116.