Least Common Multiple of 68/75, 51/35, 700/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/75, 51/35, 700/126 quickly i.e. 35700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/75, 51/35, 700/126 is 35700.

LCM(68/75, 51/35, 700/126) = 35700

LCM of 68/75, 51/35, 700/126

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 68/75,51/35,700/126

Given numbers are 68/75,51/35,700/126

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 68,51,700

Least Common Multiple of Numerators i.e. LCM of 68,51,700 is 35700.

GCF of Denominators means GCF of 75,35,126 as per the given fractions.

GCF of 75,35,126 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,51,700

LCM of Fractions 68/75,51/35,700/126 is 35700

2 68, 51, 700
2 34, 51, 350
17 17, 51, 175
1, 3, 175

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 3 x 175 = 35700

Least Common Multiple of 68,51,700 with GCF Formula

Least Common Multiple of 68,51,700 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 68,51,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,51,700) = 1

common factors(in case of two or more numbers have common factors) = 68

GCF(68,51,700) x common factors =1 x 68 = 68

LCM(68,51,700) = ( 68 × 51 × 700 ) / 68

LCM(68,51,700) = 2427600 / 68

LCM(68,51,700) = 35700


Lets's calculate GCF of 75,35,126

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35700/1

Therefore the LCM of Fractions 68/75,51/35,700/126 is 35700

Greatest Common Factor of 75,35,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,35,126 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 75,35,126 . The biggest common factor number is the GCF number.
So the greatest common factor 75,35,126 is 1.


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 68/75, 51/35, 700/126

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 68/75, 51/35, 700/126?

Answer: LCM of Numerators as per given numbers 68/75, 51/35, 700/126 is

LCM of Numerators i.e. for 68,51,700 is 35700

GCF of denominators i.e. for 75,35,126 is 1.

Thus, LCM of Fractions is 35700.Finally, LCM of Fractions for 68/75, 51/35, 700/126 is 35700.