Least Common Multiple of 64/852, 298/443, 416/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/852, 298/443, 416/458 quickly i.e. 123968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/852, 298/443, 416/458 is 123968.

LCM(64/852, 298/443, 416/458) = 123968

LCM of 64/852, 298/443, 416/458

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 64/852,298/443,416/458

Given numbers are 64/852,298/443,416/458

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 64,298,416

Least Common Multiple of Numerators i.e. LCM of 64,298,416 is 123968.

GCF of Denominators means GCF of 852,443,458 as per the given fractions.

GCF of 852,443,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,298,416

LCM of Fractions 64/852,298/443,416/458 is 123968

2 64, 298, 416
2 32, 149, 208
2 16, 149, 104
2 8, 149, 52
2 4, 149, 26
2, 149, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 149 x 13 = 123968

Least Common Multiple of 64,298,416 with GCF Formula

Least Common Multiple of 64,298,416 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 64,298,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,298,416) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(64,298,416) x common factors =2 x 32 = 64

LCM(64,298,416) = ( 64 × 298 × 416 ) / 64

LCM(64,298,416) = 7933952 / 64

LCM(64,298,416) = 123968


Lets's calculate GCF of 852,443,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123968/1

Therefore the LCM of Fractions 64/852,298/443,416/458 is 123968

Greatest Common Factor of 852,443,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,443,458 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 852,443,458 . The biggest common factor number is the GCF number.
So the greatest common factor 852,443,458 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 64/852, 298/443, 416/458

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 64/852, 298/443, 416/458?

Answer: LCM of Numerators as per given numbers 64/852, 298/443, 416/458 is

LCM of Numerators i.e. for 64,298,416 is 123968

GCF of denominators i.e. for 852,443,458 is 1.

Thus, LCM of Fractions is 123968.Finally, LCM of Fractions for 64/852, 298/443, 416/458 is 123968.