Least Common Multiple of 37/562, 962/729, 735/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/562, 962/729, 735/426 quickly i.e. 707070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/562, 962/729, 735/426 is 707070.

LCM(37/562, 962/729, 735/426) = 707070

LCM of 37/562, 962/729, 735/426

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 37/562,962/729,735/426

Given numbers are 37/562,962/729,735/426

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 37,962,735

Least Common Multiple of Numerators i.e. LCM of 37,962,735 is 707070.

GCF of Denominators means GCF of 562,729,426 as per the given fractions.

GCF of 562,729,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,962,735

LCM of Fractions 37/562,962/729,735/426 is 707070

37 37, 962, 735
1, 26, 735

∴ So the LCM of the given numbers is 37 x 1 x 26 x 735 = 707070

Least Common Multiple of 37,962,735 with GCF Formula

Least Common Multiple of 37,962,735 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 37,962,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,962,735) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(37,962,735) x common factors =1 x 37 = 37

LCM(37,962,735) = ( 37 × 962 × 735 ) / 37

LCM(37,962,735) = 26161590 / 37

LCM(37,962,735) = 707070


Lets's calculate GCF of 562,729,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 707070/1

Therefore the LCM of Fractions 37/562,962/729,735/426 is 707070

Greatest Common Factor of 562,729,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,729,426 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 562,729,426 . The biggest common factor number is the GCF number.
So the greatest common factor 562,729,426 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 37/562, 962/729, 735/426

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 37/562, 962/729, 735/426?

Answer: LCM of Numerators as per given numbers 37/562, 962/729, 735/426 is

LCM of Numerators i.e. for 37,962,735 is 707070

GCF of denominators i.e. for 562,729,426 is 1.

Thus, LCM of Fractions is 707070.Finally, LCM of Fractions for 37/562, 962/729, 735/426 is 707070.