Least Common Multiple of 307/840, 6102/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/840, 6102/612 quickly i.e. 1873314/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/840, 6102/612 is 1873314/12.

LCM(307/840, 6102/612) = 1873314/12

LCM of 307/840, 6102/612

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 307/840,6102/612

Given numbers are 307/840,6102/612

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 307,6102

Least Common Multiple of Numerators i.e. LCM of 307,6102 is 1873314.

GCF of Denominators means GCF of 840,612 as per the given fractions.

GCF of 840,612 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,6102

LCM of Fractions 307/840,6102/612 is 1873314/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 1873314

Least Common Multiple of 307,6102 with GCF Formula

Least Common Multiple of 307,6102 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 307,6102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,6102) = 1

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

GCF(307,6102) x common factors =1 x 1 = 1

LCM(307,6102) = ( 307 × 6102 ) / 1

LCM(307,6102) = 1873314 / 1

LCM(307,6102) = 1873314


Lets's calculate GCF of 840,612

2 840, 612
2 420, 306
3 210, 153
70, 51

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1873314/12

Therefore the LCM of Fractions 307/840,6102/612 is 1873314/12

Greatest Common Factor of 840,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,612 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 840,612 . The biggest common factor number is the GCF number.
So the greatest common factor 840,612 is 12.


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 307/840, 6102/612

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 307/840, 6102/612?

Answer: LCM of Numerators as per given numbers 307/840, 6102/612 is

LCM of Numerators i.e. for 307,6102 is 1873314

GCF of denominators i.e. for 840,612 is 12.

Thus, LCM of Fractions is 1873314/12.Finally, LCM of Fractions for 307/840, 6102/612 is 1873314/12.