Least Common Multiple of 86/352, 66/964, 730/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/352, 66/964, 730/862 quickly i.e. 517935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/352, 66/964, 730/862 is 517935.

LCM(86/352, 66/964, 730/862) = 517935

LCM of 86/352, 66/964, 730/862

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 86/352,66/964,730/862

Given numbers are 86/352,66/964,730/862

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 86,66,730

Least Common Multiple of Numerators i.e. LCM of 86,66,730 is 1035870.

GCF of Denominators means GCF of 352,964,862 as per the given fractions.

GCF of 352,964,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,66,730

LCM of Fractions 86/352,66/964,730/862 is 517935

2 86, 66, 730
43, 33, 365

∴ So the LCM of the given numbers is 2 x 43 x 33 x 365 = 1035870

Least Common Multiple of 86,66,730 with GCF Formula

Least Common Multiple of 86,66,730 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 86,66,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,66,730) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(86,66,730) x common factors =2 x 2 = 4

LCM(86,66,730) = ( 86 × 66 × 730 ) / 4

LCM(86,66,730) = 4143480 / 4

LCM(86,66,730) = 1035870


Lets's calculate GCF of 352,964,862

2 352, 964, 862
176, 482, 431

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1035870/2

Therefore the LCM of Fractions 86/352,66/964,730/862 is 517935

Greatest Common Factor of 352,964,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,964,862 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 352,964,862 . The biggest common factor number is the GCF number.
So the greatest common factor 352,964,862 is 2.


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 86/352, 66/964, 730/862

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 86/352, 66/964, 730/862?

Answer: LCM of Numerators as per given numbers 86/352, 66/964, 730/862 is

LCM of Numerators i.e. for 86,66,730 is 1035870

GCF of denominators i.e. for 352,964,862 is 2.

Thus, LCM of Fractions is 517935.Finally, LCM of Fractions for 86/352, 66/964, 730/862 is 517935.