Least Common Multiple of 700/402, 3640/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 700/402, 3640/958 quickly i.e. 9100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/402, 3640/958 is 9100.

LCM(700/402, 3640/958) = 9100

LCM of 700/402, 3640/958

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 700/402,3640/958

Given numbers are 700/402,3640/958

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 700,3640

Least Common Multiple of Numerators i.e. LCM of 700,3640 is 18200.

GCF of Denominators means GCF of 402,958 as per the given fractions.

GCF of 402,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,3640

LCM of Fractions 700/402,3640/958 is 9100

2 700, 3640
2 350, 1820
5 175, 910
7 35, 182
5, 26

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 5 x 26 = 18200

Least Common Multiple of 700,3640 with GCF Formula

Least Common Multiple of 700,3640 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 700,3640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,3640) = 140

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

GCF(700,3640) x common factors =140 x 1 = 140

LCM(700,3640) = ( 700 × 3640 ) / 140

LCM(700,3640) = 2548000 / 140

LCM(700,3640) = 18200


Lets's calculate GCF of 402,958

2 402, 958
201, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18200/2

Therefore the LCM of Fractions 700/402,3640/958 is 9100

Greatest Common Factor of 402,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,958 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 402,958 . The biggest common factor number is the GCF number.
So the greatest common factor 402,958 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 700/402, 3640/958

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 700/402, 3640/958?

Answer: LCM of Numerators as per given numbers 700/402, 3640/958 is

LCM of Numerators i.e. for 700,3640 is 18200

GCF of denominators i.e. for 402,958 is 2.

Thus, LCM of Fractions is 9100.Finally, LCM of Fractions for 700/402, 3640/958 is 9100.