Least Common Multiple of 968/49, 220/22, 310/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 968/49, 220/22, 310/185 quickly i.e. 150040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 968/49, 220/22, 310/185 is 150040.

LCM(968/49, 220/22, 310/185) = 150040

LCM of 968/49, 220/22, 310/185

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 968/49,220/22,310/185

Given numbers are 968/49,220/22,310/185

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 968,220,310

Least Common Multiple of Numerators i.e. LCM of 968,220,310 is 150040.

GCF of Denominators means GCF of 49,22,185 as per the given fractions.

GCF of 49,22,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 968,220,310

LCM of Fractions 968/49,220/22,310/185 is 150040

2 968, 220, 310
2 484, 110, 155
5 242, 55, 155
11 242, 11, 31
22, 1, 31

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 22 x 1 x 31 = 150040

Least Common Multiple of 968,220,310 with GCF Formula

Least Common Multiple of 968,220,310 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 968,220,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,220,310) = 2

common factors(in case of two or more numbers have common factors) = 220

GCF(968,220,310) x common factors =2 x 220 = 440

LCM(968,220,310) = ( 968 × 220 × 310 ) / 440

LCM(968,220,310) = 66017600 / 440

LCM(968,220,310) = 150040


Lets's calculate GCF of 49,22,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150040/1

Therefore the LCM of Fractions 968/49,220/22,310/185 is 150040

Greatest Common Factor of 49,22,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,22,185 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 49,22,185 . The biggest common factor number is the GCF number.
So the greatest common factor 49,22,185 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 968/49, 220/22, 310/185

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 968/49, 220/22, 310/185?

Answer: LCM of Numerators as per given numbers 968/49, 220/22, 310/185 is

LCM of Numerators i.e. for 968,220,310 is 150040

GCF of denominators i.e. for 49,22,185 is 1.

Thus, LCM of Fractions is 150040.Finally, LCM of Fractions for 968/49, 220/22, 310/185 is 150040.