Least Common Multiple of 650/350, 491/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 650/350, 491/420 quickly i.e. 319150/70 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 650/350, 491/420 is 319150/70.

LCM(650/350, 491/420) = 319150/70

LCM of 650/350, 491/420

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 650/350,491/420

Given numbers are 650/350,491/420

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 650,491

Least Common Multiple of Numerators i.e. LCM of 650,491 is 319150.

GCF of Denominators means GCF of 350,420 as per the given fractions.

GCF of 350,420 is 70 as it is the largest common factor for these numbers.

Lets's calculate LCM of 650,491

LCM of Fractions 650/350,491/420 is 319150/70

Given numbers has no common factors except 1. So, there LCM is their product i.e 319150

Least Common Multiple of 650,491 with GCF Formula

Least Common Multiple of 650,491 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 650,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,491) = 1

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

GCF(650,491) x common factors =1 x 1 = 1

LCM(650,491) = ( 650 × 491 ) / 1

LCM(650,491) = 319150 / 1

LCM(650,491) = 319150


Lets's calculate GCF of 350,420

2 350, 420
5 175, 210
7 35, 42
5, 6

∴ So the GCF of the given numbers is 2 x 5 x 7 = 70

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319150/70

Therefore the LCM of Fractions 650/350,491/420 is 319150/70

Greatest Common Factor of 350,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,420 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 350,420 . The biggest common factor number is the GCF number.
So the greatest common factor 350,420 is 70.


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 650/350, 491/420

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 650/350, 491/420?

Answer: LCM of Numerators as per given numbers 650/350, 491/420 is

LCM of Numerators i.e. for 650,491 is 319150

GCF of denominators i.e. for 350,420 is 70.

Thus, LCM of Fractions is 319150/70.Finally, LCM of Fractions for 650/350, 491/420 is 319150/70.