Least Common Multiple of 1962/268, 3107/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1962/268, 3107/698 quickly i.e. 3047967 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1962/268, 3107/698 is 3047967.

LCM(1962/268, 3107/698) = 3047967

LCM of 1962/268, 3107/698

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 1962/268,3107/698

Given numbers are 1962/268,3107/698

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 1962,3107

Least Common Multiple of Numerators i.e. LCM of 1962,3107 is 6095934.

GCF of Denominators means GCF of 268,698 as per the given fractions.

GCF of 268,698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1962,3107

LCM of Fractions 1962/268,3107/698 is 3047967

Given numbers has no common factors except 1. So, there LCM is their product i.e 6095934

Least Common Multiple of 1962,3107 with GCF Formula

Least Common Multiple of 1962,3107 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 1962,3107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1962,3107) = 1

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

GCF(1962,3107) x common factors =1 x 1 = 1

LCM(1962,3107) = ( 1962 × 3107 ) / 1

LCM(1962,3107) = 6095934 / 1

LCM(1962,3107) = 6095934


Lets's calculate GCF of 268,698

2 268, 698
134, 349

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6095934/2

Therefore the LCM of Fractions 1962/268,3107/698 is 3047967

Greatest Common Factor of 268,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,698 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 268,698 . The biggest common factor number is the GCF number.
So the greatest common factor 268,698 is 2.


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 1962/268, 3107/698

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 1962/268, 3107/698?

Answer: LCM of Numerators as per given numbers 1962/268, 3107/698 is

LCM of Numerators i.e. for 1962,3107 is 6095934

GCF of denominators i.e. for 268,698 is 2.

Thus, LCM of Fractions is 3047967.Finally, LCM of Fractions for 1962/268, 3107/698 is 3047967.