Least Common Multiple of 922/346, 765/135, 672/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 922/346, 765/135, 672/383 quickly i.e. 78996960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 922/346, 765/135, 672/383 is 78996960.

LCM(922/346, 765/135, 672/383) = 78996960

LCM of 922/346, 765/135, 672/383

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 922/346,765/135,672/383

Given numbers are 922/346,765/135,672/383

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 922,765,672

Least Common Multiple of Numerators i.e. LCM of 922,765,672 is 78996960.

GCF of Denominators means GCF of 346,135,383 as per the given fractions.

GCF of 346,135,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 922,765,672

LCM of Fractions 922/346,765/135,672/383 is 78996960

2 922, 765, 672
3 461, 765, 336
461, 255, 112

∴ So the LCM of the given numbers is 2 x 3 x 461 x 255 x 112 = 78996960

Least Common Multiple of 922,765,672 with GCF Formula

Least Common Multiple of 922,765,672 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 922,765,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,765,672) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(922,765,672) x common factors =1 x 6 = 6

LCM(922,765,672) = ( 922 × 765 × 672 ) / 6

LCM(922,765,672) = 473981760 / 6

LCM(922,765,672) = 78996960


Lets's calculate GCF of 346,135,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78996960/1

Therefore the LCM of Fractions 922/346,765/135,672/383 is 78996960

Greatest Common Factor of 346,135,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,135,383 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 346,135,383 . The biggest common factor number is the GCF number.
So the greatest common factor 346,135,383 is 1.


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Frequently Asked Questions on Fractional LCM of 922/346, 765/135, 672/383

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 922/346, 765/135, 672/383?

Answer: LCM of Numerators as per given numbers 922/346, 765/135, 672/383 is

LCM of Numerators i.e. for 922,765,672 is 78996960

GCF of denominators i.e. for 346,135,383 is 1.

Thus, LCM of Fractions is 78996960.Finally, LCM of Fractions for 922/346, 765/135, 672/383 is 78996960.