Least Common Multiple of 620/70, 142/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 620/70, 142/322 quickly i.e. 44020/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 620/70, 142/322 is 44020/14.

LCM(620/70, 142/322) = 44020/14

LCM of 620/70, 142/322

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 620/70,142/322

Given numbers are 620/70,142/322

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 620,142

Least Common Multiple of Numerators i.e. LCM of 620,142 is 44020.

GCF of Denominators means GCF of 70,322 as per the given fractions.

GCF of 70,322 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 620,142

LCM of Fractions 620/70,142/322 is 44020/14

2 620, 142
310, 71

∴ So the LCM of the given numbers is 2 x 310 x 71 = 44020

Least Common Multiple of 620,142 with GCF Formula

Least Common Multiple of 620,142 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 620,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,142) = 2

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

GCF(620,142) x common factors =2 x 1 = 2

LCM(620,142) = ( 620 × 142 ) / 2

LCM(620,142) = 88040 / 2

LCM(620,142) = 44020


Lets's calculate GCF of 70,322

2 70, 322
7 35, 161
5, 23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44020/14

Therefore the LCM of Fractions 620/70,142/322 is 44020/14

Greatest Common Factor of 70,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,322 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 70,322 . The biggest common factor number is the GCF number.
So the greatest common factor 70,322 is 14.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 620/70, 142/322

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 620/70, 142/322?

Answer: LCM of Numerators as per given numbers 620/70, 142/322 is

LCM of Numerators i.e. for 620,142 is 44020

GCF of denominators i.e. for 70,322 is 14.

Thus, LCM of Fractions is 44020/14.Finally, LCM of Fractions for 620/70, 142/322 is 44020/14.