Least Common Multiple of 3036/312, 3722/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3036/312, 3722/700 quickly i.e. 1412499 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3036/312, 3722/700 is 1412499.

LCM(3036/312, 3722/700) = 1412499

LCM of 3036/312, 3722/700

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 3036/312,3722/700

Given numbers are 3036/312,3722/700

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 3036,3722

Least Common Multiple of Numerators i.e. LCM of 3036,3722 is 5649996.

GCF of Denominators means GCF of 312,700 as per the given fractions.

GCF of 312,700 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3036,3722

LCM of Fractions 3036/312,3722/700 is 1412499

2 3036, 3722
1518, 1861

∴ So the LCM of the given numbers is 2 x 1518 x 1861 = 5649996

Least Common Multiple of 3036,3722 with GCF Formula

Least Common Multiple of 3036,3722 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 3036,3722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3036,3722) = 2

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

GCF(3036,3722) x common factors =2 x 1 = 2

LCM(3036,3722) = ( 3036 × 3722 ) / 2

LCM(3036,3722) = 11299992 / 2

LCM(3036,3722) = 5649996


Lets's calculate GCF of 312,700

2 312, 700
2 156, 350
78, 175

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5649996/4

Therefore the LCM of Fractions 3036/312,3722/700 is 1412499

Greatest Common Factor of 312,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,700 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 312,700 . The biggest common factor number is the GCF number.
So the greatest common factor 312,700 is 4.


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 3036/312, 3722/700

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 3036/312, 3722/700?

Answer: LCM of Numerators as per given numbers 3036/312, 3722/700 is

LCM of Numerators i.e. for 3036,3722 is 5649996

GCF of denominators i.e. for 312,700 is 4.

Thus, LCM of Fractions is 1412499.Finally, LCM of Fractions for 3036/312, 3722/700 is 1412499.