Least Common Multiple of 95/719, 40/549, 440/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/719, 40/549, 440/211 quickly i.e. 8360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/719, 40/549, 440/211 is 8360.

LCM(95/719, 40/549, 440/211) = 8360

LCM of 95/719, 40/549, 440/211

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 95/719,40/549,440/211

Given numbers are 95/719,40/549,440/211

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 95,40,440

Least Common Multiple of Numerators i.e. LCM of 95,40,440 is 8360.

GCF of Denominators means GCF of 719,549,211 as per the given fractions.

GCF of 719,549,211 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,40,440

LCM of Fractions 95/719,40/549,440/211 is 8360

2 95, 40, 440
2 95, 20, 220
2 95, 10, 110
5 95, 5, 55
19, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 19 x 1 x 11 = 8360

Least Common Multiple of 95,40,440 with GCF Formula

Least Common Multiple of 95,40,440 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 95,40,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,40,440) = 5

common factors(in case of two or more numbers have common factors) = 40

GCF(95,40,440) x common factors =5 x 40 = 200

LCM(95,40,440) = ( 95 × 40 × 440 ) / 200

LCM(95,40,440) = 1672000 / 200

LCM(95,40,440) = 8360


Lets's calculate GCF of 719,549,211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8360/1

Therefore the LCM of Fractions 95/719,40/549,440/211 is 8360

Greatest Common Factor of 719,549,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,549,211 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 719,549,211 . The biggest common factor number is the GCF number.
So the greatest common factor 719,549,211 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 95/719, 40/549, 440/211

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 95/719, 40/549, 440/211?

Answer: LCM of Numerators as per given numbers 95/719, 40/549, 440/211 is

LCM of Numerators i.e. for 95,40,440 is 8360

GCF of denominators i.e. for 719,549,211 is 1.

Thus, LCM of Fractions is 8360.Finally, LCM of Fractions for 95/719, 40/549, 440/211 is 8360.