Least Common Multiple of 759/942, 3160/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 759/942, 3160/606 quickly i.e. 399740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 759/942, 3160/606 is 399740.

LCM(759/942, 3160/606) = 399740

LCM of 759/942, 3160/606

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 759/942,3160/606

Given numbers are 759/942,3160/606

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 759,3160

Least Common Multiple of Numerators i.e. LCM of 759,3160 is 2398440.

GCF of Denominators means GCF of 942,606 as per the given fractions.

GCF of 942,606 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 759,3160

LCM of Fractions 759/942,3160/606 is 399740

Given numbers has no common factors except 1. So, there LCM is their product i.e 2398440

Least Common Multiple of 759,3160 with GCF Formula

Least Common Multiple of 759,3160 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 759,3160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,3160) = 1

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

GCF(759,3160) x common factors =1 x 1 = 1

LCM(759,3160) = ( 759 × 3160 ) / 1

LCM(759,3160) = 2398440 / 1

LCM(759,3160) = 2398440


Lets's calculate GCF of 942,606

2 942, 606
3 471, 303
157, 101

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2398440/6

Therefore the LCM of Fractions 759/942,3160/606 is 399740

Greatest Common Factor of 942,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,606 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 942,606 . The biggest common factor number is the GCF number.
So the greatest common factor 942,606 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 759/942, 3160/606

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 759/942, 3160/606?

Answer: LCM of Numerators as per given numbers 759/942, 3160/606 is

LCM of Numerators i.e. for 759,3160 is 2398440

GCF of denominators i.e. for 942,606 is 6.

Thus, LCM of Fractions is 399740.Finally, LCM of Fractions for 759/942, 3160/606 is 399740.