Least Common Multiple of 953/364, 3280/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 953/364, 3280/568 quickly i.e. 781460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 953/364, 3280/568 is 781460.

LCM(953/364, 3280/568) = 781460

LCM of 953/364, 3280/568

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 953/364,3280/568

Given numbers are 953/364,3280/568

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 953,3280

Least Common Multiple of Numerators i.e. LCM of 953,3280 is 3125840.

GCF of Denominators means GCF of 364,568 as per the given fractions.

GCF of 364,568 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 953,3280

LCM of Fractions 953/364,3280/568 is 781460

Given numbers has no common factors except 1. So, there LCM is their product i.e 3125840

Least Common Multiple of 953,3280 with GCF Formula

Least Common Multiple of 953,3280 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 953,3280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,3280) = 1

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

GCF(953,3280) x common factors =1 x 1 = 1

LCM(953,3280) = ( 953 × 3280 ) / 1

LCM(953,3280) = 3125840 / 1

LCM(953,3280) = 3125840


Lets's calculate GCF of 364,568

2 364, 568
2 182, 284
91, 142

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3125840/4

Therefore the LCM of Fractions 953/364,3280/568 is 781460

Greatest Common Factor of 364,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,568 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 364,568 . The biggest common factor number is the GCF number.
So the greatest common factor 364,568 is 4.


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 953/364, 3280/568

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 953/364, 3280/568?

Answer: LCM of Numerators as per given numbers 953/364, 3280/568 is

LCM of Numerators i.e. for 953,3280 is 3125840

GCF of denominators i.e. for 364,568 is 4.

Thus, LCM of Fractions is 781460.Finally, LCM of Fractions for 953/364, 3280/568 is 781460.