Least Common Multiple of 35/549, 41/837, 122/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/549, 41/837, 122/658 quickly i.e. 175070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/549, 41/837, 122/658 is 175070.

LCM(35/549, 41/837, 122/658) = 175070

LCM of 35/549, 41/837, 122/658

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 35/549,41/837,122/658

Given numbers are 35/549,41/837,122/658

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 35,41,122

Least Common Multiple of Numerators i.e. LCM of 35,41,122 is 175070.

GCF of Denominators means GCF of 549,837,658 as per the given fractions.

GCF of 549,837,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,41,122

LCM of Fractions 35/549,41/837,122/658 is 175070

Given numbers has no common factors except 1. So, there LCM is their product i.e 175070

Least Common Multiple of 35,41,122 with GCF Formula

Least Common Multiple of 35,41,122 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 35,41,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,41,122) = 1

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

GCF(35,41,122) x common factors =1 x 1 = 1

LCM(35,41,122) = ( 35 × 41 × 122 ) / 1

LCM(35,41,122) = 175070 / 1

LCM(35,41,122) = 175070


Lets's calculate GCF of 549,837,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175070/1

Therefore the LCM of Fractions 35/549,41/837,122/658 is 175070

Greatest Common Factor of 549,837,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,837,658 By Matching Biggest Common Factor Method

Factors of 549

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

1,3,9,61,183,549

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 549,837,658 . The biggest common factor number is the GCF number.
So the greatest common factor 549,837,658 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 35/549, 41/837, 122/658

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 35/549, 41/837, 122/658?

Answer: LCM of Numerators as per given numbers 35/549, 41/837, 122/658 is

LCM of Numerators i.e. for 35,41,122 is 175070

GCF of denominators i.e. for 549,837,658 is 1.

Thus, LCM of Fractions is 175070.Finally, LCM of Fractions for 35/549, 41/837, 122/658 is 175070.