Least Common Multiple of 98/78, 35/68, 35/40, 26/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/78, 35/68, 35/40, 26/252 quickly i.e. 3185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/78, 35/68, 35/40, 26/252 is 3185.

LCM(98/78, 35/68, 35/40, 26/252) = 3185

LCM of 98/78, 35/68, 35/40, 26/252

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 98/78,35/68,35/40,26/252

Given numbers are 98/78,35/68,35/40,26/252

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 98,35,35,26

Least Common Multiple of Numerators i.e. LCM of 98,35,35,26 is 6370.

GCF of Denominators means GCF of 78,68,40,252 as per the given fractions.

GCF of 78,68,40,252 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,35,35,26

LCM of Fractions 98/78,35/68,35/40,26/252 is 3185

2 98, 35, 35, 26
5 49, 35, 35, 13
7 49, 7, 7, 13
1, 1, 7, 13

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 1 x 7 x 13 = 6370

Least Common Multiple of 98,35,35,26 with GCF Formula

Least Common Multiple of 98,35,35,26 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 98,35,35,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,35,35,26) = 1

common factors(in case of two or more numbers have common factors) = 490

GCF(98,35,35,26) x common factors =1 x 490 = 490

LCM(98,35,35,26) = ( 98 × 35 × 35 × 26 ) / 490

LCM(98,35,35,26) = 3121300 / 490

LCM(98,35,35,26) = 6370


Lets's calculate GCF of 78,68,40,252

2 78, 68, 40, 252
39, 34, 20, 126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6370/2

Therefore the LCM of Fractions 98/78,35/68,35/40,26/252 is 3185

Greatest Common Factor of 78,68,40,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,68,40,252 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 78,68,40,252 . The biggest common factor number is the GCF number.
So the greatest common factor 78,68,40,252 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 98/78, 35/68, 35/40, 26/252

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 98/78, 35/68, 35/40, 26/252?

Answer: LCM of Numerators as per given numbers 98/78, 35/68, 35/40, 26/252 is

LCM of Numerators i.e. for 98,35,35,26 is 6370

GCF of denominators i.e. for 78,68,40,252 is 2.

Thus, LCM of Fractions is 3185.Finally, LCM of Fractions for 98/78, 35/68, 35/40, 26/252 is 3185.