Least Common Multiple of 22/362, 376/131, 765/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/362, 376/131, 765/610 quickly i.e. 3164040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/362, 376/131, 765/610 is 3164040.

LCM(22/362, 376/131, 765/610) = 3164040

LCM of 22/362, 376/131, 765/610

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 22/362,376/131,765/610

Given numbers are 22/362,376/131,765/610

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 22,376,765

Least Common Multiple of Numerators i.e. LCM of 22,376,765 is 3164040.

GCF of Denominators means GCF of 362,131,610 as per the given fractions.

GCF of 362,131,610 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,376,765

LCM of Fractions 22/362,376/131,765/610 is 3164040

2 22, 376, 765
11, 188, 765

∴ So the LCM of the given numbers is 2 x 11 x 188 x 765 = 3164040

Least Common Multiple of 22,376,765 with GCF Formula

Least Common Multiple of 22,376,765 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 22,376,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,376,765) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,376,765) x common factors =1 x 2 = 2

LCM(22,376,765) = ( 22 × 376 × 765 ) / 2

LCM(22,376,765) = 6328080 / 2

LCM(22,376,765) = 3164040


Lets's calculate GCF of 362,131,610

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3164040/1

Therefore the LCM of Fractions 22/362,376/131,765/610 is 3164040

Greatest Common Factor of 362,131,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,131,610 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 362,131,610 . The biggest common factor number is the GCF number.
So the greatest common factor 362,131,610 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/362, 376/131, 765/610

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 22/362, 376/131, 765/610?

Answer: LCM of Numerators as per given numbers 22/362, 376/131, 765/610 is

LCM of Numerators i.e. for 22,376,765 is 3164040

GCF of denominators i.e. for 362,131,610 is 1.

Thus, LCM of Fractions is 3164040.Finally, LCM of Fractions for 22/362, 376/131, 765/610 is 3164040.