Least Common Multiple of 7400/126, 9700/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7400/126, 9700/801 quickly i.e. 717800/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7400/126, 9700/801 is 717800/9.

LCM(7400/126, 9700/801) = 717800/9

LCM of 7400/126, 9700/801

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 7400/126,9700/801

Given numbers are 7400/126,9700/801

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 7400,9700

Least Common Multiple of Numerators i.e. LCM of 7400,9700 is 717800.

GCF of Denominators means GCF of 126,801 as per the given fractions.

GCF of 126,801 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7400,9700

LCM of Fractions 7400/126,9700/801 is 717800/9

2 7400, 9700
2 3700, 4850
5 1850, 2425
5 370, 485
74, 97

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 74 x 97 = 717800

Least Common Multiple of 7400,9700 with GCF Formula

Least Common Multiple of 7400,9700 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 7400,9700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7400,9700) = 100

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

GCF(7400,9700) x common factors =100 x 1 = 100

LCM(7400,9700) = ( 7400 × 9700 ) / 100

LCM(7400,9700) = 71780000 / 100

LCM(7400,9700) = 717800


Lets's calculate GCF of 126,801

3 126, 801
3 42, 267
14, 89

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 717800/9

Therefore the LCM of Fractions 7400/126,9700/801 is 717800/9

Greatest Common Factor of 126,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,801 By Matching Biggest Common Factor Method

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

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 126,801 . The biggest common factor number is the GCF number.
So the greatest common factor 126,801 is 9.


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 7400/126, 9700/801

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 7400/126, 9700/801?

Answer: LCM of Numerators as per given numbers 7400/126, 9700/801 is

LCM of Numerators i.e. for 7400,9700 is 717800

GCF of denominators i.e. for 126,801 is 9.

Thus, LCM of Fractions is 717800/9.Finally, LCM of Fractions for 7400/126, 9700/801 is 717800/9.