Least Common Multiple of 852/74, 416/46, 971/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/74, 416/46, 971/811 quickly i.e. 86038368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/74, 416/46, 971/811 is 86038368.

LCM(852/74, 416/46, 971/811) = 86038368

LCM of 852/74, 416/46, 971/811

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 852/74,416/46,971/811

Given numbers are 852/74,416/46,971/811

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 852,416,971

Least Common Multiple of Numerators i.e. LCM of 852,416,971 is 86038368.

GCF of Denominators means GCF of 74,46,811 as per the given fractions.

GCF of 74,46,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,416,971

LCM of Fractions 852/74,416/46,971/811 is 86038368

2 852, 416, 971
2 426, 208, 971
213, 104, 971

∴ So the LCM of the given numbers is 2 x 2 x 213 x 104 x 971 = 86038368

Least Common Multiple of 852,416,971 with GCF Formula

Least Common Multiple of 852,416,971 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 852,416,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,416,971) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(852,416,971) x common factors =1 x 4 = 4

LCM(852,416,971) = ( 852 × 416 × 971 ) / 4

LCM(852,416,971) = 344153472 / 4

LCM(852,416,971) = 86038368


Lets's calculate GCF of 74,46,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86038368/1

Therefore the LCM of Fractions 852/74,416/46,971/811 is 86038368

Greatest Common Factor of 74,46,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,46,811 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 74,46,811 . The biggest common factor number is the GCF number.
So the greatest common factor 74,46,811 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 852/74, 416/46, 971/811

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 852/74, 416/46, 971/811?

Answer: LCM of Numerators as per given numbers 852/74, 416/46, 971/811 is

LCM of Numerators i.e. for 852,416,971 is 86038368

GCF of denominators i.e. for 74,46,811 is 1.

Thus, LCM of Fractions is 86038368.Finally, LCM of Fractions for 852/74, 416/46, 971/811 is 86038368.