Least Common Multiple of 770/509, 223/758, 922/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 770/509, 223/758, 922/390 quickly i.e. 79158310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/509, 223/758, 922/390 is 79158310.

LCM(770/509, 223/758, 922/390) = 79158310

LCM of 770/509, 223/758, 922/390

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 770/509,223/758,922/390

Given numbers are 770/509,223/758,922/390

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 770,223,922

Least Common Multiple of Numerators i.e. LCM of 770,223,922 is 79158310.

GCF of Denominators means GCF of 509,758,390 as per the given fractions.

GCF of 509,758,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,223,922

LCM of Fractions 770/509,223/758,922/390 is 79158310

2 770, 223, 922
385, 223, 461

∴ So the LCM of the given numbers is 2 x 385 x 223 x 461 = 79158310

Least Common Multiple of 770,223,922 with GCF Formula

Least Common Multiple of 770,223,922 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 770,223,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,223,922) = 1

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

GCF(770,223,922) x common factors =1 x 2 = 2

LCM(770,223,922) = ( 770 × 223 × 922 ) / 2

LCM(770,223,922) = 158316620 / 2

LCM(770,223,922) = 79158310


Lets's calculate GCF of 509,758,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79158310/1

Therefore the LCM of Fractions 770/509,223/758,922/390 is 79158310

Greatest Common Factor of 509,758,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,758,390 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 509,758,390 . The biggest common factor number is the GCF number.
So the greatest common factor 509,758,390 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 770/509, 223/758, 922/390

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 770/509, 223/758, 922/390?

Answer: LCM of Numerators as per given numbers 770/509, 223/758, 922/390 is

LCM of Numerators i.e. for 770,223,922 is 79158310

GCF of denominators i.e. for 509,758,390 is 1.

Thus, LCM of Fractions is 79158310.Finally, LCM of Fractions for 770/509, 223/758, 922/390 is 79158310.