Least Common Multiple of 760/154, 4394/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 760/154, 4394/140 quickly i.e. 1669720/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 760/154, 4394/140 is 1669720/14.

LCM(760/154, 4394/140) = 1669720/14

LCM of 760/154, 4394/140

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 760/154,4394/140

Given numbers are 760/154,4394/140

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 760,4394

Least Common Multiple of Numerators i.e. LCM of 760,4394 is 1669720.

GCF of Denominators means GCF of 154,140 as per the given fractions.

GCF of 154,140 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 760,4394

LCM of Fractions 760/154,4394/140 is 1669720/14

2 760, 4394
380, 2197

∴ So the LCM of the given numbers is 2 x 380 x 2197 = 1669720

Least Common Multiple of 760,4394 with GCF Formula

Least Common Multiple of 760,4394 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 760,4394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,4394) = 2

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

GCF(760,4394) x common factors =2 x 1 = 2

LCM(760,4394) = ( 760 × 4394 ) / 2

LCM(760,4394) = 3339440 / 2

LCM(760,4394) = 1669720


Lets's calculate GCF of 154,140

2 154, 140
7 77, 70
11, 10

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1669720/14

Therefore the LCM of Fractions 760/154,4394/140 is 1669720/14

Greatest Common Factor of 154,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,140 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 154,140 . The biggest common factor number is the GCF number.
So the greatest common factor 154,140 is 14.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 760/154, 4394/140

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 760/154, 4394/140?

Answer: LCM of Numerators as per given numbers 760/154, 4394/140 is

LCM of Numerators i.e. for 760,4394 is 1669720

GCF of denominators i.e. for 154,140 is 14.

Thus, LCM of Fractions is 1669720/14.Finally, LCM of Fractions for 760/154, 4394/140 is 1669720/14.