Least Common Multiple of 3490/708, 9868/2986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3490/708, 9868/2986 quickly i.e. 8609830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3490/708, 9868/2986 is 8609830.

LCM(3490/708, 9868/2986) = 8609830

LCM of 3490/708, 9868/2986

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 3490/708,9868/2986

Given numbers are 3490/708,9868/2986

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 3490,9868

Least Common Multiple of Numerators i.e. LCM of 3490,9868 is 17219660.

GCF of Denominators means GCF of 708,2986 as per the given fractions.

GCF of 708,2986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3490,9868

LCM of Fractions 3490/708,9868/2986 is 8609830

2 3490, 9868
1745, 4934

∴ So the LCM of the given numbers is 2 x 1745 x 4934 = 17219660

Least Common Multiple of 3490,9868 with GCF Formula

Least Common Multiple of 3490,9868 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 3490,9868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3490,9868) = 2

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

GCF(3490,9868) x common factors =2 x 1 = 2

LCM(3490,9868) = ( 3490 × 9868 ) / 2

LCM(3490,9868) = 34439320 / 2

LCM(3490,9868) = 17219660


Lets's calculate GCF of 708,2986

2 708, 2986
354, 1493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17219660/2

Therefore the LCM of Fractions 3490/708,9868/2986 is 8609830

Greatest Common Factor of 708,2986 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,2986 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 2986

List of positive integer factors of 2986 that divides 2986 without a remainder.

1,2,1493,2986

Greatest Common Factor

We found the factors 708,2986 . The biggest common factor number is the GCF number.
So the greatest common factor 708,2986 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 3490/708, 9868/2986

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 3490/708, 9868/2986?

Answer: LCM of Numerators as per given numbers 3490/708, 9868/2986 is

LCM of Numerators i.e. for 3490,9868 is 17219660

GCF of denominators i.e. for 708,2986 is 2.

Thus, LCM of Fractions is 8609830.Finally, LCM of Fractions for 3490/708, 9868/2986 is 8609830.