Least Common Multiple of 917/305, 971/411, 830/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 917/305, 971/411, 830/142 quickly i.e. 739037810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 917/305, 971/411, 830/142 is 739037810.

LCM(917/305, 971/411, 830/142) = 739037810

LCM of 917/305, 971/411, 830/142

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 917/305,971/411,830/142

Given numbers are 917/305,971/411,830/142

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 917,971,830

Least Common Multiple of Numerators i.e. LCM of 917,971,830 is 739037810.

GCF of Denominators means GCF of 305,411,142 as per the given fractions.

GCF of 305,411,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 917,971,830

LCM of Fractions 917/305,971/411,830/142 is 739037810

Given numbers has no common factors except 1. So, there LCM is their product i.e 739037810

Least Common Multiple of 917,971,830 with GCF Formula

Least Common Multiple of 917,971,830 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 917,971,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,971,830) = 1

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

GCF(917,971,830) x common factors =1 x 1 = 1

LCM(917,971,830) = ( 917 × 971 × 830 ) / 1

LCM(917,971,830) = 739037810 / 1

LCM(917,971,830) = 739037810


Lets's calculate GCF of 305,411,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 739037810/1

Therefore the LCM of Fractions 917/305,971/411,830/142 is 739037810

Greatest Common Factor of 305,411,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,411,142 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 305,411,142 . The biggest common factor number is the GCF number.
So the greatest common factor 305,411,142 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 917/305, 971/411, 830/142

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 917/305, 971/411, 830/142?

Answer: LCM of Numerators as per given numbers 917/305, 971/411, 830/142 is

LCM of Numerators i.e. for 917,971,830 is 739037810

GCF of denominators i.e. for 305,411,142 is 1.

Thus, LCM of Fractions is 739037810.Finally, LCM of Fractions for 917/305, 971/411, 830/142 is 739037810.